76148952192 has 96 divisors (see below), whose sum is σ = 219585600000. Its totient is φ = 25329808896.

The previous prime is 76148952181. The next prime is 76148952233. The reversal of 76148952192 is 29125984167.

It is a happy number.

76148952192 is a `hidden beast` number, since 7 + 614 + 8 + 9 + 5 + 2 + 19 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 482809 + ... + 620807.

It is an arithmetic number, because the mean of its divisors is an integer number (2287350000).

Almost surely, 2^76148952192 is an apocalyptic number.

76148952192 is a gapful number since it is divisible by the number (72) 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 76148952192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109792800000).

76148952192 is an abundant number, since it is smaller than the sum of its proper divisors (143436647808).

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

76148952192 is a wasteful number, since it uses less digits than its factorization.

76148952192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138498 (or 138483 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The spelling of 76148952192 in words is "seventy-six billion, one hundred forty-eight million, nine hundred fifty-two thousand, one hundred ninety-two".