62742027841920 has 1536 divisors, whose sum is σ = 271124338867200. Its totient is φ = 13544423424000.

The previous prime is 62742027841919. The next prime is 62742027841993. The reversal of 62742027841920 is 2914872024726.

62742027841920 is a `hidden beast` number, since 6 + 2 + 7 + 420 + 27 + 8 + 4 + 192 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6970557420 + ... + 6970566420.

It is an arithmetic number, because the mean of its divisors is an integer number (176513241450).

Almost surely, 2^{62742027841920} is an apocalyptic number.

62742027841920 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 62742027841920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135562169433600).

62742027841920 is an abundant number, since it is smaller than the sum of its proper divisors (208382311025280).

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

62742027841920 is a wasteful number, since it uses less digits than its factorization.

62742027841920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9398 (or 9374 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 62742027841920 in words is "sixty-two trillion, seven hundred forty-two billion, twenty-seven million, eight hundred forty-one thousand, nine hundred twenty".