61797586007040 has 352 divisors, whose sum is σ = 213174885248640. Its totient is φ = 15189210955776.

The previous prime is 61797586007033. The next prime is 61797586007051. The reversal of 61797586007040 is 4070068579716.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134954791 + ... + 135411929.

Almost surely, 2^{61797586007040} is an apocalyptic number.

61797586007040 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 61797586007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106587442624320).

61797586007040 is an abundant number, since it is smaller than the sum of its proper divisors (151377299241600).

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

61797586007040 is a wasteful number, since it uses less digits than its factorization.

61797586007040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457857 (or 457839 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 60.

The spelling of 61797586007040 in words is "sixty-one trillion, seven hundred ninety-seven billion, five hundred eighty-six million, seven thousand, forty".