62088979680 has 768 divisors, whose sum is σ = 273754736640. Its totient is φ = 12791955456.

The previous prime is 62088979651. The next prime is 62088979681. The reversal of 62088979680 is 8697988026.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (62088979681) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 16902324 + ... + 16905996.

It is an arithmetic number, because the mean of its divisors is an integer number (356451480).

Almost surely, 2^62088979680 is an apocalyptic number.

62088979680 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 62088979680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136877368320).

62088979680 is an abundant number, since it is smaller than the sum of its proper divisors (211665756960).

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

62088979680 is a wasteful number, since it uses less digits than its factorization.

62088979680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3760 (or 3746 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

It can be divided in two parts, 620889 and 79680, that added together give a square (700569 = 837²).

The spelling of 62088979680 in words is "sixty-two billion, eighty-eight million, nine hundred seventy-nine thousand, six hundred eighty".