62612066882400 has 576 divisors, whose sum is σ = 233505894666240. Its totient is φ = 14275186329600.

The previous prime is 62612066882399. The next prime is 62612066882483. The reversal of 62612066882400 is 428866021626.

It is a happy number.

It is a super-2 number, since 2×62612066882400² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15127339531 + ... + 15127343669.

It is an arithmetic number, because the mean of its divisors is an integer number (405392178240).

Almost surely, 2^{62612066882400} is an apocalyptic number.

62612066882400 is a gapful number since it is divisible by the number (60) 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 62612066882400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116752947333120).

62612066882400 is an abundant number, since it is smaller than the sum of its proper divisors (170893827783840).

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

62612066882400 is a wasteful number, since it uses less digits than its factorization.

62612066882400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6227 (or 6214 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 51.

The spelling of 62612066882400 in words is "sixty-two trillion, six hundred twelve billion, sixty-six million, eight hundred eighty-two thousand, four hundred".