61353276624 has 120 divisors (see below), whose sum is σ = 181914854472. Its totient is φ = 19236372480.

The previous prime is 61353276617. The next prime is 61353276659. The reversal of 61353276624 is 42667235316.

61353276624 is a `hidden beast` number, since 6 + 1 + 353 + 276 + 6 + 24 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13838400 + 61339438224 = 3720^2 + 247668^2 .

It is a super-3 number, since 3×61353276624³ (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 61353276624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4578414 + ... + 4591794.

Almost surely, 2^61353276624 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 61353276624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90957427236).

61353276624 is an abundant number, since it is smaller than the sum of its proper divisors (120561577848).

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

61353276624 is a wasteful number, since it uses less digits than its factorization.

61353276624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15285 (or 15276 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The spelling of 61353276624 in words is "sixty-one billion, three hundred fifty-three million, two hundred seventy-six thousand, six hundred twenty-four".