97267628640 has 768 divisors, whose sum is σ = 402849054720. Its totient is φ = 19167805440.

The previous prime is 97267628639. The next prime is 97267628641. The reversal of 97267628640 is 4682676279.

It is an interprime number because it is at equal distance from previous prime (97267628639) and next prime (97267628641).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97267628641) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 39267082 + ... + 39269558.

It is an arithmetic number, because the mean of its divisors is an integer number (524543040).

Almost surely, 2^97267628640 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 97267628640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201424527360).

97267628640 is an abundant number, since it is smaller than the sum of its proper divisors (305581426080).

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

97267628640 is a wasteful number, since it uses less digits than its factorization.

97267628640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2575 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 57.

The spelling of 97267628640 in words is "ninety-seven billion, two hundred sixty-seven million, six hundred twenty-eight thousand, six hundred forty".