48062637342720 has 4352 divisors, whose sum is σ = 235743587573760. Its totient is φ = 9081213419520.

The previous prime is 48062637342697. The next prime is 48062637342757. The reversal of 48062637342720 is 2724373626084.

48062637342720 is a `hidden beast` number, since 4 + 8 + 0 + 626 + 3 + 7 + 3 + 4 + 2 + 7 + 2 + 0 = 666.

It is a super-3 number, since 3×48062637342720³ (a number of 42 digits) contains 333 as substring.

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 polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 717352796127 + ... + 717352796193.

It is an arithmetic number, because the mean of its divisors is an integer number (54169022880).

Almost surely, 2^{48062637342720} is an apocalyptic number.

48062637342720 is a gapful number since it is divisible by the number (40) 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 48062637342720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117871793786880).

48062637342720 is an abundant number, since it is smaller than the sum of its proper divisors (187680950231040).

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

48062637342720 is an frugal number, since it uses more digits than its factorization.

48062637342720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 54.

The spelling of 48062637342720 in words is "forty-eight trillion, sixty-two billion, six hundred thirty-seven million, three hundred forty-two thousand, seven hundred twenty".