61904218656 has 192 divisors, whose sum is σ = 191922103296. Its totient is φ = 17103744000.

The previous prime is 61904218633. The next prime is 61904218657. The reversal of 61904218656 is 65681240916.

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

It is not an unprimeable number, because it can be changed into a prime (61904218657) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2907891 + ... + 2929101.

It is an arithmetic number, because the mean of its divisors is an integer number (999594288).

Almost surely, 2^61904218656 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 61904218656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95961051648).

61904218656 is an abundant number, since it is smaller than the sum of its proper divisors (130017884640).

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

61904218656 is a wasteful number, since it uses less digits than its factorization.

61904218656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21375 (or 21367 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 61904218656 in words is "sixty-one billion, nine hundred four million, two hundred eighteen thousand, six hundred fifty-six".