61452610560 has 528 divisors, whose sum is σ = 238035182112. Its totient is φ = 14529331200.

The previous prime is 61452610543. The next prime is 61452610567. The reversal of 61452610560 is 6501625416.

61452610560 is a `hidden beast` number, since 61 + 4 + 5 + 26 + 10 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

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

It is not an unprimeable number, because it can be changed into a prime (61452610567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20780602 + ... + 20783558.

Almost surely, 2^61452610560 is an apocalyptic number.

61452610560 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 61452610560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119017591056).

61452610560 is an abundant number, since it is smaller than the sum of its proper divisors (176582571552).

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

61452610560 is a wasteful number, since it uses less digits than its factorization.

61452610560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3040 (or 3019 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 61452610560 in words is "sixty-one billion, four hundred fifty-two million, six hundred ten thousand, five hundred sixty".