5272646400 has 540 divisors, whose sum is σ = 22295763952. Its totient is φ = 1204346880.

The previous prime is 5272646399. The next prime is 5272646419. The reversal of 5272646400 is 46462725.

5272646400 is a `hidden beast` number, since 5 + 2 + 7 + 2 + 6 + 4 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3628074 + ... + 3629526.

Almost surely, 2^5272646400 is an apocalyptic number.

5272646400 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 5272646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11147881976).

5272646400 is an abundant number, since it is smaller than the sum of its proper divisors (17023117552).

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

5272646400 is a wasteful number, since it uses less digits than its factorization.

5272646400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1498 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 5272646400 is about 72612.9905733127. The cubic root of 5272646400 is about 1740.5087691782.

The spelling of 5272646400 in words is "five billion, two hundred seventy-two million, six hundred forty-six thousand, four hundred".