7790533632 has 264 divisors, whose sum is σ = 25881219936. Its totient is φ = 2210955264.

The previous prime is 7790533601. The next prime is 7790533649. The reversal of 7790533632 is 2363350977.

7790533632 is a `hidden beast` number, since 7 + 7 + 9 + 0 + 5 + 3 + 3 + 632 = 666.

It is a super-2 number, since 2×7790533632² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12708558 + ... + 12709170.

It is an arithmetic number, because the mean of its divisors is an integer number (98034924).

Almost surely, 2^7790533632 is an apocalyptic number.

7790533632 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7790533632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12940609968).

7790533632 is an abundant number, since it is smaller than the sum of its proper divisors (18090686304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7790533632 is a wasteful number, since it uses less digits than its factorization.

7790533632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 714420, while the sum is 45.

The square root of 7790533632 is about 88263.9996374513. Note that the first 3 decimals coincide. The cubic root of 7790533632 is about 1982.3898660239.

The spelling of 7790533632 in words is "seven billion, seven hundred ninety million, five hundred thirty-three thousand, six hundred thirty-two".