61807306412880 has 480 divisors, whose sum is σ = 254925510937344. Its totient is φ = 13097907339264.

The previous prime is 61807306412857. The next prime is 61807306412903. The reversal of 61807306412880 is 8821460370816.

61807306412880 is a `hidden beast` number, since 6 + 1 + 80 + 73 + 0 + 6 + 412 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (61807306412857) and next prime (61807306412903).

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 95 ways as a sum of consecutive naturals, for example, 357174 + ... + 11123946.

Almost surely, 2^{61807306412880} is an apocalyptic number.

61807306412880 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 61807306412880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127462755468672).

61807306412880 is an abundant number, since it is smaller than the sum of its proper divisors (193118204524464).

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

61807306412880 is a wasteful number, since it uses less digits than its factorization.

61807306412880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10766883 (or 10766874 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 61807306412880 in words is "sixty-one trillion, eight hundred seven billion, three hundred six million, four hundred twelve thousand, eight hundred eighty".