61364544917760 has 576 divisors, whose sum is σ = 256895330549760. Its totient is φ = 13573722562560.

The previous prime is 61364544917749. The next prime is 61364544917827. The reversal of 61364544917760 is 6771944546316.

61364544917760 is a `hidden beast` number, since 6 + 1 + 3 + 6 + 4 + 544 + 9 + 17 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

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, 3408289 + ... + 11590751.

It is an arithmetic number, because the mean of its divisors is an integer number (445998837760).

Almost surely, 2^{61364544917760} is an apocalyptic number.

61364544917760 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 61364544917760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128447665274880).

61364544917760 is an abundant number, since it is smaller than the sum of its proper divisors (195530785632000).

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

61364544917760 is a wasteful number, since it uses less digits than its factorization.

61364544917760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8182531 (or 8182511 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 61364544917760 in words is "sixty-one trillion, three hundred sixty-four billion, five hundred forty-four million, nine hundred seventeen thousand, seven hundred sixty".