45360664277760 has 3456 divisors, whose sum is σ = 197095744742400. Its totient is φ = 9911938056192.

The previous prime is 45360664277759. The next prime is 45360664277771. The reversal of 45360664277760 is 6777246606354.

45360664277760 is a `hidden beast` number, since 4 + 536 + 0 + 6 + 6 + 4 + 27 + 7 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 199826714767 + ... + 199826714993.

Almost surely, 2^{45360664277760} is an apocalyptic number.

45360664277760 is a gapful number since it is divisible by the number (40) 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 45360664277760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98547872371200).

45360664277760 is an abundant number, since it is smaller than the sum of its proper divisors (151735080464640).

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

45360664277760 is a wasteful number, since it uses less digits than its factorization.

45360664277760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 213373440, while the sum is 63.

The spelling of 45360664277760 in words is "forty-five trillion, three hundred sixty billion, six hundred sixty-four million, two hundred seventy-seven thousand, seven hundred sixty".