652917272400 has 240 divisors, whose sum is σ = 2353321401600. Its totient is φ = 171907107840.

The previous prime is 652917272389. The next prime is 652917272461. The reversal of 652917272400 is 4272719256.

652917272400 is a `hidden beast` number, since 6 + 5 + 2 + 9 + 172 + 72 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 470572 + ... + 1235828.

It is an arithmetic number, because the mean of its divisors is an integer number (9805505840).

Almost surely, 2^652917272400 is an apocalyptic number.

652917272400 is a gapful number since it is divisible by the number (60) 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 652917272400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176660700800).

652917272400 is an abundant number, since it is smaller than the sum of its proper divisors (1700404129200).

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

652917272400 is a wasteful number, since it uses less digits than its factorization.

652917272400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765363 (or 765346 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 652917272400 in words is "six hundred fifty-two billion, nine hundred seventeen million, two hundred seventy-two thousand, four hundred".