61566097320 has 768 divisors, whose sum is σ = 259836595200. Its totient is φ = 12286771200.

The previous prime is 61566097291. The next prime is 61566097321. The reversal of 61566097320 is 2379066516.

61566097320 is a `hidden beast` number, since 6 + 1 + 5 + 6 + 609 + 7 + 32 + 0 = 666.

It is a super-2 number, since 2×61566097320² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (61566097321) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 76101076 + ... + 76101884.

It is an arithmetic number, because the mean of its divisors is an integer number (338328900).

Almost surely, 2^61566097320 is an apocalyptic number.

61566097320 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 61566097320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129918297600).

61566097320 is an abundant number, since it is smaller than the sum of its proper divisors (198270497880).

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

61566097320 is a wasteful number, since it uses less digits than its factorization.

61566097320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 61566097320 in words is "sixty-one billion, five hundred sixty-six million, ninety-seven thousand, three hundred twenty".