61935722496 has 224 divisors, whose sum is σ = 185287798080. Its totient is φ = 20444479488.

The previous prime is 61935722467. The next prime is 61935722543. The reversal of 61935722496 is 69422753916.

61935722496 is a `hidden beast` number, since 61 + 9 + 3 + 572 + 2 + 4 + 9 + 6 = 666.

It is a super-2 number, since 2×61935722496² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23665380 + ... + 23667996.

It is an arithmetic number, because the mean of its divisors is an integer number (827177670).

Almost surely, 2^61935722496 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 61935722496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92643899040).

61935722496 is an abundant number, since it is smaller than the sum of its proper divisors (123352075584).

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

61935722496 is a wasteful number, since it uses less digits than its factorization.

61935722496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2759 (or 2729 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The spelling of 61935722496 in words is "sixty-one billion, nine hundred thirty-five million, seven hundred twenty-two thousand, four hundred ninety-six".