62546609664 has 480 divisors, whose sum is σ = 226129812480. Its totient is φ = 16168550400.

The previous prime is 62546609641. The next prime is 62546609669. The reversal of 62546609664 is 46690664526.

62546609664 is a `hidden beast` number, since 6 + 2 + 546 + 6 + 0 + 96 + 6 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 62546609664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (62546609669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145119529 + ... + 145119959.

It is an arithmetic number, because the mean of its divisors is an integer number (471103776).

Almost surely, 2^62546609664 is an apocalyptic number.

62546609664 is a gapful number since it is divisible by the number (64) 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 62546609664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113064906240).

62546609664 is an abundant number, since it is smaller than the sum of its proper divisors (163583202816).

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

62546609664 is a wasteful number, since it uses less digits than its factorization.

62546609664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 62546609664 in words is "sixty-two billion, five hundred forty-six million, six hundred nine thousand, six hundred sixty-four".