651604128400 has 45 divisors (see below), whose sum is σ = 1565517706363. Its totient is φ = 260635193600.

The previous prime is 651604128347. The next prime is 651604128407. The reversal of 651604128400 is 4821406156.

The square root of 651604128400 is 807220.

It is a perfect power (a square), and thus also a powerful number.

651604128400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 125364148624 + 526239979776 = 354068^2 + 725424^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 651604128400.

It is not an unprimeable number, because it can be changed into a prime (651604128407) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16124220 + ... + 16164580.

Almost surely, 2^651604128400 is an apocalyptic number.

651604128400 is the 807220-th square number.

It is an amenable number.

651604128400 is an abundant number, since it is smaller than the sum of its proper divisors (913913577963).

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

651604128400 is an frugal number, since it uses more digits than its factorization.

651604128400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80740 (or 40368 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The spelling of 651604128400 in words is "six hundred fifty-one billion, six hundred four million, one hundred twenty-eight thousand, four hundred".