61045107066720 has 960 divisors, whose sum is σ = 253697694243840. Its totient is φ = 13531604594688.

The previous prime is 61045107066661. The next prime is 61045107066751. The reversal of 61045107066720 is 2766070154016.

61045107066720 is a `hidden beast` number, since 6 + 1 + 0 + 4 + 510 + 7 + 0 + 66 + 72 + 0 = 666.

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 159 ways as a sum of consecutive naturals, for example, 1030458861 + ... + 1030518099.

It is an arithmetic number, because the mean of its divisors is an integer number (264268431504).

Almost surely, 2^{61045107066720} is an apocalyptic number.

61045107066720 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 61045107066720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126848847121920).

61045107066720 is an abundant number, since it is smaller than the sum of its proper divisors (192652587177120).

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

61045107066720 is a wasteful number, since it uses less digits than its factorization.

61045107066720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59617 (or 59600 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 61045107066720 in words is "sixty-one trillion, forty-five billion, one hundred seven million, sixty-six thousand, seven hundred twenty".