74927664 has 240 divisors, whose sum is σ = 257275200. Its totient is φ = 20321280.

The previous prime is 74927647. The next prime is 74927693. The reversal of 74927664 is 46672947.

It is a super-2 number, since 2×74927664² = 11228309664993792, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1827484 + ... + 1827524.

It is an arithmetic number, because the mean of its divisors is an integer number (1071980).

Almost surely, 2^74927664 is an apocalyptic number.

74927664 is a gapful number since it is divisible by the number (74) 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 74927664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128637600).

74927664 is an abundant number, since it is smaller than the sum of its proper divisors (182347536).

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

74927664 is a wasteful number, since it uses less digits than its factorization.

74927664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 90 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 74927664 is about 8656.0767094568. The cubic root of 74927664 is about 421.5807100503.

The spelling of 74927664 in words is "seventy-four million, nine hundred twenty-seven thousand, six hundred sixty-four".