61565670624 has 96 divisors (see below), whose sum is σ = 169170301440. Its totient is φ = 19567488512.

The previous prime is 61565670619. The next prime is 61565670659. The reversal of 61565670624 is 42607656516.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 655957 + ... + 743915.

It is an arithmetic number, because the mean of its divisors is an integer number (1762190640).

Almost surely, 2^61565670624 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 61565670624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84585150720).

61565670624 is an abundant number, since it is smaller than the sum of its proper divisors (107604630816).

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

61565670624 is a wasteful number, since it uses less digits than its factorization.

61565670624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88312 (or 88304 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 61565670624 in words is "sixty-one billion, five hundred sixty-five million, six hundred seventy thousand, six hundred twenty-four".