61584637703680 has 320 divisors, whose sum is σ = 181792533783168. Its totient is φ = 19484234219520.

The previous prime is 61584637703663. The next prime is 61584637703681. The reversal of 61584637703680 is 8630773648516.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61584637703681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 750323124 + ... + 750405196.

Almost surely, 2^{61584637703680} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61584637703680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90896266891584).

61584637703680 is an abundant number, since it is smaller than the sum of its proper divisors (120207896079488).

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

61584637703680 is a wasteful number, since it uses less digits than its factorization.

61584637703680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85337 (or 85321 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 64.

The spelling of 61584637703680 in words is "sixty-one trillion, five hundred eighty-four billion, six hundred thirty-seven million, seven hundred three thousand, six hundred eighty".