61657222747680 has 2592 divisors, whose sum is σ = 269398955524608. Its totient is φ = 12787775078400.

The previous prime is 61657222747633. The next prime is 61657222747723. The reversal of 61657222747680 is 8674722275616.

61657222747680 is a `hidden beast` number, since 6 + 1 + 65 + 7 + 2 + 2 + 27 + 476 + 80 = 666.

It is a super-2 number, since 2×61657222747680² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 89228976135 + ... + 89228976825.

It is an arithmetic number, because the mean of its divisors is an integer number (103934782224).

Almost surely, 2^{61657222747680} is an apocalyptic number.

61657222747680 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 61657222747680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134699477762304).

61657222747680 is an abundant number, since it is smaller than the sum of its proper divisors (207741732776928).

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

61657222747680 is a wasteful number, since it uses less digits than its factorization.

61657222747680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 61657222747680 in words is "sixty-one trillion, six hundred fifty-seven billion, two hundred twenty-two million, seven hundred forty-seven thousand, six hundred eighty".