372264526400 has 168 divisors, whose sum is σ = 988161456744. Its totient is φ = 137215180800.

The previous prime is 372264526397. The next prime is 372264526421. The reversal of 372264526400 is 4625462273.

It can be written as a sum of positive squares in 12 ways, for example, as 152281013824 + 219983512576 = 390232^2 + 469024^2 .

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12319310 + ... + 12349490.

It is an arithmetic number, because the mean of its divisors is an integer number (5881913433).

Almost surely, 2^372264526400 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 372264526400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494080728372).

372264526400 is an abundant number, since it is smaller than the sum of its proper divisors (615896930344).

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

372264526400 is a wasteful number, since it uses less digits than its factorization.

372264526400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30809 (or 30794 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 41.

Adding to 372264526400 its reverse (4625462273), we get a palindrome (376889988673).

The spelling of 372264526400 in words is "three hundred seventy-two billion, two hundred sixty-four million, five hundred twenty-six thousand, four hundred".