61695406080 has 1872 divisors, whose sum is σ = 293668187904. Its totient is φ = 12262440960.

The previous prime is 61695406043. The next prime is 61695406081. The reversal of 61695406080 is 8060459616.

61695406080 is a `hidden beast` number, since 6 + 169 + 5 + 406 + 0 + 80 = 666.

It is a super-2 number, since 2×61695406080² (a number of 22 digits) contains 22 as substring.

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 (61695406081) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2682408949 + ... + 2682408971.

It is an arithmetic number, because the mean of its divisors is an integer number (156874032).

Almost surely, 2^61695406080 is an apocalyptic number.

61695406080 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 61695406080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146834093952).

61695406080 is an abundant number, since it is smaller than the sum of its proper divisors (231972781824).

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

61695406080 is a wasteful number, since it uses less digits than its factorization.

61695406080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 61695406080 in words is "sixty-one billion, six hundred ninety-five million, four hundred six thousand, eighty".