97689672000 has 448 divisors, whose sum is σ = 362797344000. Its totient is φ = 25731993600.

The previous prime is 97689671993. The next prime is 97689672001. The reversal of 97689672000 is 27698679.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97689672001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17925276 + ... + 17930724.

It is an arithmetic number, because the mean of its divisors is an integer number (809815500).

Almost surely, 2^97689672000 is an apocalyptic number.

97689672000 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 97689672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181398672000).

97689672000 is an abundant number, since it is smaller than the sum of its proper divisors (265107672000).

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

97689672000 is a wasteful number, since it uses less digits than its factorization.

97689672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5568 (or 5542 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 97689672000 in words is "ninety-seven billion, six hundred eighty-nine million, six hundred seventy-two thousand".