97877687040 has 864 divisors, whose sum is σ = 410410344960. Its totient is φ = 21626486784.

The previous prime is 97877687029. The next prime is 97877687069. The reversal of 97877687040 is 4078677879.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 1009048272 + ... + 1009048368.

Almost surely, 2^97877687040 is an apocalyptic number.

97877687040 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 97877687040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205205172480).

97877687040 is an abundant number, since it is smaller than the sum of its proper divisors (312532657920).

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

97877687040 is an equidigital number, since it uses as much as digits as its factorization.

97877687040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 33191424, while the sum is 63.

The spelling of 97877687040 in words is "ninety-seven billion, eight hundred seventy-seven million, six hundred eighty-seven thousand, forty".