62420535936 has 384 divisors, whose sum is σ = 201894638400. Its totient is φ = 18347212800.

The previous prime is 62420535913. The next prime is 62420535943. The reversal of 62420535936 is 63953502426.

62420535936 is a `hidden beast` number, since 6 + 2 + 4 + 2 + 0 + 53 + 593 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 62420535891 and 62420535900.

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, 164697795 + ... + 164698173.

Almost surely, 2^62420535936 is an apocalyptic number.

62420535936 is a gapful number since it is divisible by the number (66) 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 62420535936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100947319200).

62420535936 is an abundant number, since it is smaller than the sum of its proper divisors (139474102464).

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

62420535936 is a wasteful number, since it uses less digits than its factorization.

62420535936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 62420535936 in words is "sixty-two billion, four hundred twenty million, five hundred thirty-five thousand, nine hundred thirty-six".