62048384640 has 640 divisors, whose sum is σ = 243287478720. Its totient is φ = 14945402880.

The previous prime is 62048384633. The next prime is 62048384687. The reversal of 62048384640 is 4648384026.

62048384640 is a `hidden beast` number, since 6 + 204 + 8 + 384 + 64 + 0 = 666.

62048384640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 132865687 + ... + 132866153.

Almost surely, 2^62048384640 is an apocalyptic number.

62048384640 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 62048384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121643739360).

62048384640 is an abundant number, since it is smaller than the sum of its proper divisors (181239094080).

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

62048384640 is a wasteful number, since it uses less digits than its factorization.

62048384640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 62048384640 in words is "sixty-two billion, forty-eight million, three hundred eighty-four thousand, six hundred forty".