62679121920 has 320 divisors, whose sum is σ = 224760408840. Its totient is φ = 16710893568.

The previous prime is 62679121919. The next prime is 62679121949. The reversal of 62679121920 is 2912197626.

62679121920 is a `hidden beast` number, since 626 + 7 + 9 + 1 + 2 + 19 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13268679 + ... + 13273401.

Almost surely, 2^62679121920 is an apocalyptic number.

62679121920 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 62679121920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112380204420).

62679121920 is an abundant number, since it is smaller than the sum of its proper divisors (162081286920).

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

62679121920 is an frugal number, since it uses more digits than its factorization.

62679121920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4770 (or 4733 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 62679121920 in words is "sixty-two billion, six hundred seventy-nine million, one hundred twenty-one thousand, nine hundred twenty".