774668431152 has 400 divisors, whose sum is σ = 2815818204672. Its totient is φ = 199740349440.

The previous prime is 774668431127. The next prime is 774668431169. The reversal of 774668431152 is 251134866477.

774668431152 is a `hidden beast` number, since 77 + 466 + 84 + 31 + 1 + 5 + 2 = 666.

It is a super-2 number, since 2×774668431152² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13643173 + ... + 13699835.

Almost surely, 2^774668431152 is an apocalyptic number.

774668431152 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 774668431152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407909102336).

774668431152 is an abundant number, since it is smaller than the sum of its proper divisors (2041149773520).

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

774668431152 is a wasteful number, since it uses less digits than its factorization.

774668431152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56838 (or 56823 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 774668431152 in words is "seven hundred seventy-four billion, six hundred sixty-eight million, four hundred thirty-one thousand, one hundred fifty-two".