62004984064 has 81 divisors (see below), whose sum is σ = 125993819217. Its totient is φ = 30454674432.

The previous prime is 62004984043. The next prime is 62004984073. The reversal of 62004984064 is 46048940026.

The square root of 62004984064 is 249008.

It is a perfect power (a square), and thus also a powerful number.

62004984064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 60752390400 + 1252593664 = 246480^2 + 35392^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 62004984064.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 314746014 + ... + 314746210.

Almost surely, 2^62004984064 is an apocalyptic number.

62004984064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

62004984064 is the 249008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 62004984064

62004984064 is an abundant number, since it is smaller than the sum of its proper divisors (63988835153).

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

62004984064 is an frugal number, since it uses more digits than its factorization.

62004984064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 43.

The spelling of 62004984064 in words is "sixty-two billion, four million, nine hundred eighty-four thousand, sixty-four".