76430148480 has 384 divisors, whose sum is σ = 312801914880. Its totient is φ = 17469499392.

The previous prime is 76430148449. The next prime is 76430148497. The reversal of 76430148480 is 8484103467.

76430148480 is a `hidden beast` number, since 7 + 64 + 30 + 1 + 484 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1053537 + ... + 1123743.

It is an arithmetic number, because the mean of its divisors is an integer number (814588320).

Almost surely, 2^76430148480 is an apocalyptic number.

76430148480 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 76430148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156400957440).

76430148480 is an abundant number, since it is smaller than the sum of its proper divisors (236371766400).

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

76430148480 is an equidigital number, since it uses as much as digits as its factorization.

76430148480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70248 (or 70224 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 76430148480 in words is "seventy-six billion, four hundred thirty million, one hundred forty-eight thousand, four hundred eighty".