7648284420 has 288 divisors, whose sum is σ = 27018351360. Its totient is φ = 1715281920.

The previous prime is 7648284419. The next prime is 7648284451. The reversal of 7648284420 is 244828467.

7648284420 is a `hidden beast` number, since 76 + 4 + 82 + 84 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27025599 + ... + 27025881.

It is an arithmetic number, because the mean of its divisors is an integer number (93813720).

Almost surely, 2^7648284420 is an apocalyptic number.

7648284420 is a gapful number since it is divisible by the number (70) 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 7648284420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13509175680).

7648284420 is an abundant number, since it is smaller than the sum of its proper divisors (19370066940).

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

7648284420 is a wasteful number, since it uses less digits than its factorization.

7648284420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The square root of 7648284420 is about 87454.4705546835. The cubic root of 7648284420 is about 1970.2500322532.

The spelling of 7648284420 in words is "seven billion, six hundred forty-eight million, two hundred eighty-four thousand, four hundred twenty".