61812495360 has 704 divisors, whose sum is σ = 273922007040. Its totient is φ = 12841943040.

The previous prime is 61812495293. The next prime is 61812495373. The reversal of 61812495360 is 6359421816.

61812495360 is a `hidden beast` number, since 6 + 181 + 24 + 95 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

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 63 ways as a sum of consecutive naturals, for example, 10641577 + ... + 10647383.

It is an arithmetic number, because the mean of its divisors is an integer number (389093760).

Almost surely, 2^61812495360 is an apocalyptic number.

61812495360 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 61812495360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136961003520).

61812495360 is an abundant number, since it is smaller than the sum of its proper divisors (212109511680).

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

61812495360 is a wasteful number, since it uses less digits than its factorization.

61812495360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5859 (or 5835 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 61812495360 in words is "sixty-one billion, eight hundred twelve million, four hundred ninety-five thousand, three hundred sixty".