61779136298880 has 3072 divisors, whose sum is σ = 278021307432960. Its totient is φ = 11329332019200.

The previous prime is 61779136298773. The next prime is 61779136298897. The reversal of 61779136298880 is 8889263197716.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 744326943319 + ... + 744326943401.

It is an arithmetic number, because the mean of its divisors is an integer number (90501727680).

Almost surely, 2^{61779136298880} is an apocalyptic number.

61779136298880 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 61779136298880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139010653716480).

61779136298880 is an abundant number, since it is smaller than the sum of its proper divisors (216242171134080).

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

61779136298880 is a wasteful number, since it uses less digits than its factorization.

61779136298880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 75.

The spelling of 61779136298880 in words is "sixty-one trillion, seven hundred seventy-nine billion, one hundred thirty-six million, two hundred ninety-eight thousand, eight hundred eighty".