76495004974080 has 2112 divisors, whose sum is σ = 335056418611200. Its totient is φ = 15675487027200.

The previous prime is 76495004974067. The next prime is 76495004974081. The reversal of 76495004974080 is 8047940059467.

76495004974080 is a `hidden beast` number, since 7 + 6 + 4 + 9 + 500 + 4 + 9 + 7 + 40 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

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

It is a junction number, because it is equal to n+sod(n) for n = 76495004973999 and 76495004974017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76495004974081) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 92496982627 + ... + 92496983453.

It is an arithmetic number, because the mean of its divisors is an integer number (158644137600).

Almost surely, 2^{76495004974080} is an apocalyptic number.

76495004974080 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 76495004974080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167528209305600).

76495004974080 is an abundant number, since it is smaller than the sum of its proper divisors (258561413637120).

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

76495004974080 is a wasteful number, since it uses less digits than its factorization.

76495004974080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 76495004974080 in words is "seventy-six trillion, four hundred ninety-five billion, four million, nine hundred seventy-four thousand, eighty".