97637090760 has 384 divisors, whose sum is σ = 370115516160. Its totient is φ = 22059417600.

The previous prime is 97637090729. The next prime is 97637090783. The reversal of 97637090760 is 6709073679.

It is a junction number, because it is equal to n+sod(n) for n = 97637090697 and 97637090706.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6926920 + ... + 6941000.

It is an arithmetic number, because the mean of its divisors is an integer number (963842490).

Almost surely, 2^97637090760 is an apocalyptic number.

97637090760 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 97637090760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185057758080).

97637090760 is an abundant number, since it is smaller than the sum of its proper divisors (272478425400).

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

97637090760 is a wasteful number, since it uses less digits than its factorization.

97637090760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14229 (or 14222 counting only the distinct ones).

The product of its (nonzero) digits is 3000564, while the sum is 54.

The spelling of 97637090760 in words is "ninety-seven billion, six hundred thirty-seven million, ninety thousand, seven hundred sixty".