62005980800 has 192 divisors, whose sum is σ = 156669258240. Its totient is φ = 24242380800.

The previous prime is 62005980767. The next prime is 62005980833. The reversal of 62005980800 is 808950026.

62005980800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (62005980767) and next prime (62005980833).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29371745 + ... + 29373855.

It is an arithmetic number, because the mean of its divisors is an integer number (815985720).

Almost surely, 2^62005980800 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 62005980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78334629120).

62005980800 is an abundant number, since it is smaller than the sum of its proper divisors (94663277440).

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

62005980800 is a wasteful number, since it uses less digits than its factorization.

62005980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2339 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The spelling of 62005980800 in words is "sixty-two billion, five million, nine hundred eighty thousand, eight hundred".