5164772400 has 360 divisors, whose sum is σ = 18868427760. Its totient is φ = 1306368000.

The previous prime is 5164772399. The next prime is 5164772401. The reversal of 5164772400 is 42774615.

5164772400 is a `hidden beast` number, since 5 + 1 + 647 + 7 + 2 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5164772399) and next prime (5164772401).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5164772401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6367995 + ... + 6368805.

Almost surely, 2^5164772400 is an apocalyptic number.

5164772400 is a gapful number since it is divisible by the number (50) 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 5164772400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9434213880).

5164772400 is an abundant number, since it is smaller than the sum of its proper divisors (13703655360).

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

5164772400 is a wasteful number, since it uses less digits than its factorization.

5164772400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 5164772400 is about 71866.3509578718. The cubic root of 5164772400 is about 1728.5570959681.

The spelling of 5164772400 in words is "five billion, one hundred sixty-four million, seven hundred seventy-two thousand, four hundred".