5034683790864 has 1280 divisors, whose sum is σ = 18788557455360. Its totient is φ = 1255367393280.

The previous prime is 5034683790827. The next prime is 5034683790889. The reversal of 5034683790864 is 4680973864305.

5034683790864 is a `hidden beast` number, since 5 + 0 + 3 + 468 + 3 + 7 + 90 + 86 + 4 = 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 255 ways as a sum of consecutive naturals, for example, 16085251572 + ... + 16085251884.

It is an arithmetic number, because the mean of its divisors is an integer number (14678560512).

Almost surely, 2^{5034683790864} is an apocalyptic number.

5034683790864 is a gapful number since it is divisible by the number (54) 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 5034683790864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9394278727680).

5034683790864 is an abundant number, since it is smaller than the sum of its proper divisors (13753873664496).

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

5034683790864 is a wasteful number, since it uses less digits than its factorization.

5034683790864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 5034683790864 in words is "five trillion, thirty-four billion, six hundred eighty-three million, seven hundred ninety thousand, eight hundred sixty-four".