61919649792 has 672 divisors, whose sum is σ = 240444771840. Its totient is φ = 14828175360.

The previous prime is 61919649769. The next prime is 61919649817. The reversal of 61919649792 is 29794691916.

61919649792 is a `hidden beast` number, since 619 + 1 + 9 + 6 + 4 + 9 + 7 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73801309 + ... + 73802147.

It is an arithmetic number, because the mean of its divisors is an integer number (357804720).

Almost surely, 2^61919649792 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 61919649792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120222385920).

61919649792 is an abundant number, since it is smaller than the sum of its proper divisors (178525122048).

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

61919649792 is a wasteful number, since it uses less digits than its factorization.

61919649792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 875 counting only the distinct ones).

The product of its digits is 13226976, while the sum is 63.

The spelling of 61919649792 in words is "sixty-one billion, nine hundred nineteen million, six hundred forty-nine thousand, seven hundred ninety-two".