774972656640 has 2112 divisors, whose sum is σ = 3553628682240. Its totient is φ = 151608360960.

The previous prime is 774972656629. The next prime is 774972656677. The reversal of 774972656640 is 46656279477.

It is a happy number.

774972656640 is a `hidden beast` number, since 7 + 7 + 4 + 9 + 7 + 26 + 566 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5656734652 + ... + 5656734788.

Almost surely, 2^774972656640 is an apocalyptic number.

774972656640 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 774972656640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1776814341120).

774972656640 is an abundant number, since it is smaller than the sum of its proper divisors (2778656025600).

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

774972656640 is a wasteful number, since it uses less digits than its factorization.

774972656640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 63.

The spelling of 774972656640 in words is "seven hundred seventy-four billion, nine hundred seventy-two million, six hundred fifty-six thousand, six hundred forty".