76421313342 has 72 divisors (see below), whose sum is σ = 182199723888. Its totient is φ = 23132640960.

The previous prime is 76421313259. The next prime is 76421313343. The reversal of 76421313342 is 24331312467.

76421313342 is a `hidden beast` number, since 7 + 642 + 1 + 3 + 1 + 3 + 3 + 4 + 2 = 666.

It is a super-2 number, since 2×76421313342² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 76421313297 and 76421313306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76421313343) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2022063 + ... + 2059509.

Almost surely, 2^76421313342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76421313342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91099861944).

76421313342 is an abundant number, since it is smaller than the sum of its proper divisors (105778410546).

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

76421313342 is a wasteful number, since it uses less digits than its factorization.

76421313342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38414 (or 38400 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The spelling of 76421313342 in words is "seventy-six billion, four hundred twenty-one million, three hundred thirteen thousand, three hundred forty-two".