5164400640 has 512 divisors, whose sum is σ = 20132352000. Its totient is φ = 1104150528.

The previous prime is 5164400599. The next prime is 5164400687. The reversal of 5164400640 is 460044615.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5164400598 and 5164400607.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65372121 + ... + 65372199.

It is an arithmetic number, because the mean of its divisors is an integer number (39321000).

Almost surely, 2^5164400640 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 5164400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10066176000).

5164400640 is an abundant number, since it is smaller than the sum of its proper divisors (14967951360).

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

5164400640 is an equidigital number, since it uses as much as digits as its factorization.

5164400640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 5164400640 is about 71863.7644435636. The cubic root of 5164400640 is about 1728.5156211618.

The spelling of 5164400640 in words is "five billion, one hundred sixty-four million, four hundred thousand, six hundred forty".