76421520000 has 960 divisors, whose sum is σ = 320623617600. Its totient is φ = 17104896000.

The previous prime is 76421519987. The next prime is 76421520017. The reversal of 76421520000 is 2512467.

76421520000 is a `hidden beast` number, since 7 + 642 + 15 + 2 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×76421520000² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 297359872 + ... + 297360128.

It is an arithmetic number, because the mean of its divisors is an integer number (333982935).

Almost surely, 2^76421520000 is an apocalyptic number.

76421520000 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 76421520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160311808800).

76421520000 is an abundant number, since it is smaller than the sum of its proper divisors (244202097600).

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

76421520000 is a wasteful number, since it uses less digits than its factorization.

76421520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 76421520000 in words is "seventy-six billion, four hundred twenty-one million, five hundred twenty thousand".