5016795264 has 384 divisors, whose sum is σ = 16997198400. Its totient is φ = 1460146176.

The previous prime is 5016795263. The next prime is 5016795271. The reversal of 5016795264 is 4625976105.

5016795264 is a `hidden beast` number, since 50 + 1 + 6 + 79 + 526 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5016795263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7682362 + ... + 7683014.

Almost surely, 2^5016795264 is an apocalyptic number.

5016795264 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 5016795264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8498599200).

5016795264 is an abundant number, since it is smaller than the sum of its proper divisors (11980403136).

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

5016795264 is a wasteful number, since it uses less digits than its factorization.

5016795264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 5016795264 is about 70829.3390058103. The cubic root of 5016795264 is about 1711.8884400476. Note that the first 3 decimals are identical.

The spelling of 5016795264 in words is "five billion, sixteen million, seven hundred ninety-five thousand, two hundred sixty-four".