61753203904 has 56 divisors (see below), whose sum is σ = 140400613280. Its totient is φ = 26398918656.

The previous prime is 61753203887. The next prime is 61753203949. The reversal of 61753203904 is 40930235716.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4252 + ... + 351460.

Almost surely, 2^61753203904 is an apocalyptic number.

61753203904 is a gapful number since it is divisible by the number (64) 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 61753203904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70200306640).

61753203904 is an abundant number, since it is smaller than the sum of its proper divisors (78647409376).

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

61753203904 is a wasteful number, since it uses less digits than its factorization.

61753203904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347625 (or 347615 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 40.

The spelling of 61753203904 in words is "sixty-one billion, seven hundred fifty-three million, two hundred three thousand, nine hundred four".