61779292323840 has 4032 divisors, whose sum is σ = 288814477392000. Its totient is φ = 12585277587456.

The previous prime is 61779292323829. The next prime is 61779292323919. The reversal of 61779292323840 is 4832329297716.

61779292323840 is a `hidden beast` number, since 6 + 1 + 7 + 79 + 292 + 3 + 238 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2130320424946 + ... + 2130320424974.

It is an arithmetic number, because the mean of its divisors is an integer number (71630574750).

Almost surely, 2^{61779292323840} is an apocalyptic number.

61779292323840 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 61779292323840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144407238696000).

61779292323840 is an abundant number, since it is smaller than the sum of its proper divisors (227035185068160).

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

61779292323840 is an frugal number, since it uses more digits than its factorization.

61779292323840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 61779292323840 in words is "sixty-one trillion, seven hundred seventy-nine billion, two hundred ninety-two million, three hundred twenty-three thousand, eight hundred forty".