61624258560 has 156 divisors (see below), whose sum is σ = 213605323932. Its totient is φ = 16433086464.

The previous prime is 61624258543. The next prime is 61624258561. The reversal of 61624258560 is 6585242616.

61624258560 is a `hidden beast` number, since 6 + 1 + 6 + 2 + 4 + 2 + 585 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19969081344 + 41655177216 = 141312^2 + 204096^2 .

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 (61624258561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17154 + ... + 351486.

It is an arithmetic number, because the mean of its divisors is an integer number (1369264897).

Almost surely, 2^61624258560 is an apocalyptic number.

61624258560 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 61624258560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106802661966).

61624258560 is an abundant number, since it is smaller than the sum of its proper divisors (151981065372).

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

61624258560 is a wasteful number, since it uses less digits than its factorization.

61624258560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334368 (or 334343 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 61624258560 in words is "sixty-one billion, six hundred twenty-four million, two hundred fifty-eight thousand, five hundred sixty".