97906636800 has 864 divisors, whose sum is σ = 405574041600. Its totient is φ = 22109552640.

The previous prime is 97906636799. The next prime is 97906636801. The reversal of 97906636800 is 863660979.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (97906636799) and next prime (97906636801).

It is a super-2 number, since 2×97906636800² (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 (97906636801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 409651081 + ... + 409651319.

It is an arithmetic number, because the mean of its divisors is an integer number (469414400).

Almost surely, 2^97906636800 is an apocalyptic number.

97906636800 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 97906636800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202787020800).

97906636800 is an abundant number, since it is smaller than the sum of its proper divisors (307667404800).

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

97906636800 is a wasteful number, since it uses less digits than its factorization.

97906636800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 97906636800 in words is "ninety-seven billion, nine hundred six million, six hundred thirty-six thousand, eight hundred".