61242240960 has 672 divisors, whose sum is σ = 232291737600. Its totient is φ = 14750760960.

The previous prime is 61242240907. The next prime is 61242241001. The reversal of 61242240960 is 6904224216.

61242240960 is a `hidden beast` number, since 6 + 1 + 242 + 2 + 409 + 6 + 0 = 666.

It is a super-2 number, since 2×61242240960² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 134009052 + ... + 134009508.

Almost surely, 2^61242240960 is an apocalyptic number.

61242240960 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 61242240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116145868800).

61242240960 is an abundant number, since it is smaller than the sum of its proper divisors (171049496640).

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

61242240960 is a wasteful number, since it uses less digits than its factorization.

61242240960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 61242240960 in words is "sixty-one billion, two hundred forty-two million, two hundred forty thousand, nine hundred sixty".