61695080460 has 672 divisors, whose sum is σ = 227386740672. Its totient is φ = 13914685440.

The previous prime is 61695080453. The next prime is 61695080467. The reversal of 61695080460 is 6408059616.

61695080460 is a `hidden beast` number, since 6 + 1 + 69 + 50 + 80 + 460 = 666.

It is an interprime number because it is at equal distance from previous prime (61695080453) and next prime (61695080467).

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 (61695080467) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 132109147 + ... + 132109613.

It is an arithmetic number, because the mean of its divisors is an integer number (338373126).

Almost surely, 2^61695080460 is an apocalyptic number.

61695080460 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 61695080460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113693370336).

61695080460 is an abundant number, since it is smaller than the sum of its proper divisors (165691660212).

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

61695080460 is a wasteful number, since it uses less digits than its factorization.

61695080460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 548 counting only the distinct ones).

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

The spelling of 61695080460 in words is "sixty-one billion, six hundred ninety-five million, eighty thousand, four hundred sixty".