76950492480 has 1120 divisors, whose sum is σ = 306081135360. Its totient is φ = 18274222080.

The previous prime is 76950492473. The next prime is 76950492523. The reversal of 76950492480 is 8429405967.

76950492480 is a `hidden beast` number, since 7 + 6 + 9 + 504 + 92 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 747092109 + ... + 747092211.

It is an arithmetic number, because the mean of its divisors is an integer number (273286728).

Almost surely, 2^76950492480 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 76950492480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153040567680).

76950492480 is an abundant number, since it is smaller than the sum of its proper divisors (229130642880).

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

76950492480 is a wasteful number, since it uses less digits than its factorization.

76950492480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 76950492480 in words is "seventy-six billion, nine hundred fifty million, four hundred ninety-two thousand, four hundred eighty".