97638410880 has 448 divisors, whose sum is σ = 355997095200. Its totient is φ = 25588389888.

The previous prime is 97638410819. The next prime is 97638410941. The reversal of 97638410880 is 8801483679.

97638410880 is a `hidden beast` number, since 97 + 63 + 8 + 410 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (97638410819) and next prime (97638410941).

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 27525267 + ... + 27528813.

Almost surely, 2^97638410880 is an apocalyptic number.

97638410880 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 97638410880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177998547600).

97638410880 is an abundant number, since it is smaller than the sum of its proper divisors (258358684320).

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

97638410880 is an equidigital number, since it uses as much as digits as its factorization.

97638410880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3643 (or 3616 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 97638410880 in words is "ninety-seven billion, six hundred thirty-eight million, four hundred ten thousand, eight hundred eighty".