61748749440000 has 4620 divisors, whose sum is σ = 280078137997284. Its totient is φ = 13544423424000.

The previous prime is 61748749439989. The next prime is 61748749440019. The reversal of 61748749440000 is 4494784716.

61748749440000 is a `hidden beast` number, since 6 + 1 + 74 + 87 + 4 + 94 + 400 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 32251858781184 + 29496890658816 = 5679072^2 + 5431104^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 419 ways as a sum of consecutive naturals, for example, 845873279964 + ... + 845873280036.

Almost surely, 2^{61748749440000} is an apocalyptic number.

61748749440000 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 61748749440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140039068998642).

61748749440000 is an abundant number, since it is smaller than the sum of its proper divisors (218329388557284).

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

61748749440000 is an frugal number, since it uses more digits than its factorization.

61748749440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 61748749440000 in words is "sixty-one trillion, seven hundred forty-eight billion, seven hundred forty-nine million, four hundred forty thousand".