62138484720 has 640 divisors, whose sum is σ = 240554603520. Its totient is φ = 14642933760.

The previous prime is 62138484703. The next prime is 62138484743. The reversal of 62138484720 is 2748483126.

It is a happy number.

62138484720 is a `hidden beast` number, since 6 + 2 + 138 + 48 + 472 + 0 = 666.

It is a super-2 number, since 2×62138484720² (a number of 22 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 63993835 + ... + 63994805.

It is an arithmetic number, because the mean of its divisors is an integer number (375866568).

Almost surely, 2^62138484720 is an apocalyptic number.

62138484720 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 62138484720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120277301760).

62138484720 is an abundant number, since it is smaller than the sum of its proper divisors (178416118800).

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

62138484720 is a wasteful number, since it uses less digits than its factorization.

62138484720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 62138484720 in words is "sixty-two billion, one hundred thirty-eight million, four hundred eighty-four thousand, seven hundred twenty".