74877568077312 has 3840 divisors, whose sum is σ = 322381446266880. Its totient is φ = 16215326392320.

The previous prime is 74877568077287. The next prime is 74877568077359. The reversal of 74877568077312 is 21377086577847.

It is a happy number.

74877568077312 is a `hidden beast` number, since 7 + 48 + 7 + 7 + 568 + 0 + 7 + 7 + 3 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 243900873063 + ... + 243900873369.

It is an arithmetic number, because the mean of its divisors is an integer number (83953501632).

Almost surely, 2^{74877568077312} is an apocalyptic number.

74877568077312 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 74877568077312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161190723133440).

74877568077312 is an abundant number, since it is smaller than the sum of its proper divisors (247503878189568).

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

74877568077312 is a wasteful number, since it uses less digits than its factorization.

74877568077312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 774466560, while the sum is 72.

The spelling of 74877568077312 in words is "seventy-four trillion, eight hundred seventy-seven billion, five hundred sixty-eight million, seventy-seven thousand, three hundred twelve".