62130781440 has 1296 divisors, whose sum is σ = 274488334848. Its totient is φ = 12697731072.

The previous prime is 62130781417. The next prime is 62130781481. The reversal of 62130781440 is 4418703126.

62130781440 is a `hidden beast` number, since 6 + 2 + 130 + 7 + 81 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 62130781395 and 62130781404.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 640523472 + ... + 640523568.

Almost surely, 2^62130781440 is an apocalyptic number.

62130781440 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 62130781440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137244167424).

62130781440 is an abundant number, since it is smaller than the sum of its proper divisors (212357553408).

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

62130781440 is a wasteful number, since it uses less digits than its factorization.

62130781440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 62130781440 in words is "sixty-two billion, one hundred thirty million, seven hundred eighty-one thousand, four hundred forty".