61379405614080 has 1408 divisors, whose sum is σ = 234787192473600. Its totient is φ = 15350346547200.

The previous prime is 61379405614073. The next prime is 61379405614127. The reversal of 61379405614080 is 8041650497316.

61379405614080 is a `hidden beast` number, since 6 + 1 + 3 + 79 + 4 + 0 + 561 + 4 + 0 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21913388680 + ... + 21913391480.

Almost surely, 2^{61379405614080} is an apocalyptic number.

61379405614080 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 61379405614080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117393596236800).

61379405614080 is an abundant number, since it is smaller than the sum of its proper divisors (173407786859520).

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

61379405614080 is a wasteful number, since it uses less digits than its factorization.

61379405614080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2969 (or 2933 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 61379405614080 in words is "sixty-one trillion, three hundred seventy-nine billion, four hundred five million, six hundred fourteen thousand, eighty".