62064485952 has 336 divisors, whose sum is σ = 200728356480. Its totient is φ = 16558940160.

The previous prime is 62064485933. The next prime is 62064485969. The reversal of 62064485952 is 25958446026.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 62064485895 and 62064485904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37455108 + ... + 37456764.

Almost surely, 2^62064485952 is an apocalyptic number.

62064485952 is a gapful number since it is divisible by the number (62) 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 62064485952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100364178240).

62064485952 is an abundant number, since it is smaller than the sum of its proper divisors (138663870528).

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

62064485952 is a wasteful number, since it uses less digits than its factorization.

62064485952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1770 (or 1729 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 51.

The spelling of 62064485952 in words is "sixty-two billion, sixty-four million, four hundred eighty-five thousand, nine hundred fifty-two".