7897101609600 has 1920 divisors, whose sum is σ = 35403846508800. Its totient is φ = 1692163768320.

The previous prime is 7897101609589. The next prime is 7897101609623. The reversal of 7897101609600 is 69061017987.

7897101609600 is a `hidden beast` number, since 7 + 8 + 9 + 7 + 10 + 16 + 0 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 239 ways as a sum of consecutive naturals, for example, 15514934146 + ... + 15514934654.

It is an arithmetic number, because the mean of its divisors is an integer number (18439503390).

Almost surely, 2^{7897101609600} is an apocalyptic number.

7897101609600 is a gapful number since it is divisible by the number (70) 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 7897101609600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17701923254400).

7897101609600 is an abundant number, since it is smaller than the sum of its proper divisors (27506744899200).

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

7897101609600 is a wasteful number, since it uses less digits than its factorization.

7897101609600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The spelling of 7897101609600 in words is "seven trillion, eight hundred ninety-seven billion, one hundred one million, six hundred nine thousand, six hundred".