76146324480 has 616 divisors, whose sum is σ = 286097104512. Its totient is φ = 19400933376.

The previous prime is 76146324473. The next prime is 76146324487. The reversal of 76146324480 is 8442364167.

76146324480 is a `hidden beast` number, since 7 + 6 + 1 + 4 + 632 + 4 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (76146324473) and next prime (76146324487).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76146324487) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 85846597 + ... + 85847483.

Almost surely, 2^76146324480 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 76146324480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143048552256).

76146324480 is an abundant number, since it is smaller than the sum of its proper divisors (209950780032).

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

76146324480 is an equidigital number, since it uses as much as digits as its factorization.

76146324480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 76146324480 in words is "seventy-six billion, one hundred forty-six million, three hundred twenty-four thousand, four hundred eighty".