97638646400 has 192 divisors, whose sum is σ = 248322231360. Its totient is φ = 37911552000.

The previous prime is 97638646361. The next prime is 97638646411. The reversal of 97638646400 is 464683679.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27681437 + ... + 27684963.

It is an arithmetic number, because the mean of its divisors is an integer number (1293344955).

Almost surely, 2^97638646400 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 97638646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124161115680).

97638646400 is an abundant number, since it is smaller than the sum of its proper divisors (150683584960).

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

97638646400 is a wasteful number, since it uses less digits than its factorization.

97638646400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3803 (or 3786 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 53.

The spelling of 97638646400 in words is "ninety-seven billion, six hundred thirty-eight million, six hundred forty-six thousand, four hundred".