97638100560 has 1440 divisors, whose sum is σ = 469482594048. Its totient is φ = 17597399040.

The previous prime is 97638100541. The next prime is 97638100579. The reversal of 97638100560 is 6500183679.

It is a happy number.

97638100560 is a `hidden beast` number, since 9 + 7 + 6 + 3 + 81 + 0 + 0 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (97638100541) and next prime (97638100579).

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 287 ways as a sum of consecutive naturals, for example, 159278814 + ... + 159279426.

Almost surely, 2^97638100560 is an apocalyptic number.

97638100560 is a gapful number since it is divisible by the number (90) 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 97638100560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234741297024).

97638100560 is an abundant number, since it is smaller than the sum of its proper divisors (371844493488).

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

97638100560 is a wasteful number, since it uses less digits than its factorization.

97638100560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 97638100560 in words is "ninety-seven billion, six hundred thirty-eight million, one hundred thousand, five hundred sixty".