75616161696 has 288 divisors, whose sum is σ = 232550922240. Its totient is φ = 23232448512.

The previous prime is 75616161689. The next prime is 75616161701. The reversal of 75616161696 is 69616161657.

It is a happy number.

75616161696 is a `hidden beast` number, since 7 + 5 + 6 + 1 + 616 + 16 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

Its product of digits (2449440) is a multiple of the sum of its prime factors (2268).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36831006 + ... + 36833058.

It is an arithmetic number, because the mean of its divisors is an integer number (807468480).

Almost surely, 2^75616161696 is an apocalyptic number.

75616161696 is a gapful number since it is divisible by the number (76) 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 75616161696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116275461120).

75616161696 is an abundant number, since it is smaller than the sum of its proper divisors (156934760544).

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

75616161696 is a wasteful number, since it uses less digits than its factorization.

75616161696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2268 (or 2257 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The spelling of 75616161696 in words is "seventy-five billion, six hundred sixteen million, one hundred sixty-one thousand, six hundred ninety-six".