61294209760 has 384 divisors, whose sum is σ = 183980160000. Its totient is φ = 19213092864.

The previous prime is 61294209709. The next prime is 61294209773. The reversal of 61294209760 is 6790249216.

61294209760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 61294209760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30237867 + ... + 30239893.

It is an arithmetic number, because the mean of its divisors is an integer number (479115000).

Almost surely, 2^61294209760 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 61294209760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91990080000).

61294209760 is an abundant number, since it is smaller than the sum of its proper divisors (122685950240).

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

61294209760 is a wasteful number, since it uses less digits than its factorization.

61294209760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2111 (or 2089 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 46.

The spelling of 61294209760 in words is "sixty-one billion, two hundred ninety-four million, two hundred nine thousand, seven hundred sixty".