61958645760 has 384 divisors, whose sum is σ = 217648529280. Its totient is φ = 14922547200.

The previous prime is 61958645759. The next prime is 61958645789. The reversal of 61958645760 is 6754685916.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 61958645760.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61163014 + ... + 61164026.

It is an arithmetic number, because the mean of its divisors is an integer number (566793045).

Almost surely, 2^61958645760 is an apocalyptic number.

61958645760 is a gapful number since it is divisible by the number (60) 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 61958645760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108824264640).

61958645760 is an abundant number, since it is smaller than the sum of its proper divisors (155689883520).

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

61958645760 is a wasteful number, since it uses less digits than its factorization.

61958645760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 57.

The spelling of 61958645760 in words is "sixty-one billion, nine hundred fifty-eight million, six hundred forty-five thousand, seven hundred sixty".