62401962816 has 224 divisors, whose sum is σ = 186462984960. Its totient is φ = 20461824000.

The previous prime is 62401962811. The next prime is 62401962851. The reversal of 62401962816 is 61826910426.

62401962816 is a `hidden beast` number, since 6 + 2 + 4 + 0 + 1 + 9 + 628 + 16 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (62401962811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29145106 + ... + 29147246.

It is an arithmetic number, because the mean of its divisors is an integer number (832424040).

Almost surely, 2^62401962816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 62401962816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93231492480).

62401962816 is an abundant number, since it is smaller than the sum of its proper divisors (124061022144).

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

62401962816 is a wasteful number, since it uses less digits than its factorization.

62401962816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2430 (or 2414 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 62401962816 in words is "sixty-two billion, four hundred one million, nine hundred sixty-two thousand, eight hundred sixteen".