97632376400 has 120 divisors (see below), whose sum is σ = 252731183544. Its totient is φ = 36030873600.

The previous prime is 97632376397. The next prime is 97632376409. The reversal of 97632376400 is 467323679.

It can be written as a sum of positive squares in 12 ways, for example, as 37677915664 + 59954460736 = 194108^2 + 244856^2 .

It is a super-2 number, since 2×97632376400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97632376409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15061160 + ... + 15067640.

Almost surely, 2^97632376400 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 97632376400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126365591772).

97632376400 is an abundant number, since it is smaller than the sum of its proper divisors (155098807144).

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

97632376400 is a wasteful number, since it uses less digits than its factorization.

97632376400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9409 (or 9398 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 47.

The spelling of 97632376400 in words is "ninety-seven billion, six hundred thirty-two million, three hundred seventy-six thousand, four hundred".