774025829640 has 768 divisors, whose sum is σ = 3169364889600. Its totient is φ = 165952779264.

The previous prime is 774025829609. The next prime is 774025829657. The reversal of 774025829640 is 46928520477.

774025829640 is a `hidden beast` number, since 77 + 402 + 5 + 82 + 96 + 4 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 133151374 + ... + 133157186.

It is an arithmetic number, because the mean of its divisors is an integer number (4126777200).

Almost surely, 2^774025829640 is an apocalyptic number.

774025829640 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 774025829640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584682444800).

774025829640 is an abundant number, since it is smaller than the sum of its proper divisors (2395339059960).

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

774025829640 is a wasteful number, since it uses less digits than its factorization.

774025829640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5968 (or 5952 counting only the distinct ones).

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

The spelling of 774025829640 in words is "seven hundred seventy-four billion, twenty-five million, eight hundred twenty-nine thousand, six hundred forty".