76149295488 has 192 divisors, whose sum is σ = 250621956000. Its totient is φ = 21740396544.

The previous prime is 76149295487. The next prime is 76149295493. The reversal of 76149295488 is 88459294167.

76149295488 is a `hidden beast` number, since 7 + 6 + 149 + 2 + 9 + 5 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76149295487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13972188 + ... + 13977636.

Almost surely, 2^76149295488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76149295488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125310978000).

76149295488 is an abundant number, since it is smaller than the sum of its proper divisors (174472660512).

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

76149295488 is a wasteful number, since it uses less digits than its factorization.

76149295488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7209 (or 7194 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 76149295488 in words is "seventy-six billion, one hundred forty-nine million, two hundred ninety-five thousand, four hundred eighty-eight".