62138949840 has 360 divisors, whose sum is σ = 230806727424. Its totient is φ = 14970278400.

The previous prime is 62138949799. The next prime is 62138949841. The reversal of 62138949840 is 4894983126.

62138949840 is a `hidden beast` number, since 62 + 13 + 89 + 498 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×62138949840² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (62138949841) 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 71 ways as a sum of consecutive naturals, for example, 14546905 + ... + 14551175.

Almost surely, 2^62138949840 is an apocalyptic number.

62138949840 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 62138949840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115403363712).

62138949840 is an abundant number, since it is smaller than the sum of its proper divisors (168667777584).

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

62138949840 is a wasteful number, since it uses less digits than its factorization.

62138949840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4479 (or 4459 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 62138949840 in words is "sixty-two billion, one hundred thirty-eight million, nine hundred forty-nine thousand, eight hundred forty".