787130836337664 has 2200 divisors, whose sum is σ = 3081676555151040. Its totient is φ = 198554057146368.

The previous prime is 787130836337567. The next prime is 787130836337737. The reversal of 787130836337664 is 466733638031787.

787130836337664 is a `hidden beast` number, since 7 + 8 + 7 + 130 + 8 + 3 + 63 + 376 + 64 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 787130836337592 and 787130836337601.

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 59545408047 + ... + 59545421265.

Almost surely, 2^{787130836337664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 787130836337664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540838277575520).

787130836337664 is an abundant number, since it is smaller than the sum of its proper divisors (2294545718813376).

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

787130836337664 is a wasteful number, since it uses less digits than its factorization.

787130836337664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13315 (or 13267 counting only the distinct ones).

The product of its (nonzero) digits is 1536288768, while the sum is 72.

The spelling of 787130836337664 in words is "seven hundred eighty-seven trillion, one hundred thirty billion, eight hundred thirty-six million, three hundred thirty-seven thousand, six hundred sixty-four".