652730918400 has 1500 divisors, whose sum is σ = 2719168393260. Its totient is φ = 154557849600.

The previous prime is 652730918393. The next prime is 652730918453. The reversal of 652730918400 is 4819037256.

652730918400 is a `hidden beast` number, since 6 + 527 + 30 + 91 + 8 + 4 + 0 + 0 = 666.

652730918400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 149 ways as a sum of consecutive naturals, for example, 15179788779 + ... + 15179788821.

It is a 1-persistent number, because it is pandigital, but 2⋅652730918400 = 1305461836800 is not.

Almost surely, 2^652730918400 is an apocalyptic number.

652730918400 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 652730918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359584196630).

652730918400 is an abundant number, since it is smaller than the sum of its proper divisors (2066437474860).

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

652730918400 is an frugal number, since it uses more digits than its factorization.

652730918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 652730918400 in words is "six hundred fifty-two billion, seven hundred thirty million, nine hundred eighteen thousand, four hundred".