76448547630 has 960 divisors, whose sum is σ = 284395224960. Its totient is φ = 14381991936.

The previous prime is 76448547607. The next prime is 76448547641. The reversal of 76448547630 is 3674584467.

76448547630 is a `hidden beast` number, since 7 + 64 + 4 + 8 + 547 + 6 + 30 = 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 polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 4023607761 + ... + 4023607779.

It is an arithmetic number, because the mean of its divisors is an integer number (296245026).

Almost surely, 2^76448547630 is an apocalyptic number.

76448547630 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 76448547630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142197612480).

76448547630 is an abundant number, since it is smaller than the sum of its proper divisors (207946677330).

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

76448547630 is a wasteful number, since it uses less digits than its factorization.

76448547630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 76448547630 in words is "seventy-six billion, four hundred forty-eight million, five hundred forty-seven thousand, six hundred thirty".