61345757673200 has 240 divisors, whose sum is σ = 197885113875456. Its totient is φ = 17649928166400.

The previous prime is 61345757673149. The next prime is 61345757673223. The reversal of 61345757673200 is 237675754316.

61345757673200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76205192 + ... + 77005991.

Almost surely, 2^{61345757673200} is an apocalyptic number.

It is an amenable number.

61345757673200 is an abundant number, since it is smaller than the sum of its proper divisors (136539356202256).

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

61345757673200 is a wasteful number, since it uses less digits than its factorization.

61345757673200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153211232 (or 153211221 counting only the distinct ones).

The product of its (nonzero) digits is 22226400, while the sum is 56.

The spelling of 61345757673200 in words is "sixty-one trillion, three hundred forty-five billion, seven hundred fifty-seven million, six hundred seventy-three thousand, two hundred".