45075595847760 has 640 divisors, whose sum is σ = 169733456363520. Its totient is φ = 10960560230400.

The previous prime is 45075595847749. The next prime is 45075595847813. The reversal of 45075595847760 is 6774859557054.

45075595847760 is a `hidden beast` number, since 4 + 5 + 0 + 7 + 5 + 5 + 95 + 8 + 477 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 102966940 + ... + 103403780.

It is an arithmetic number, because the mean of its divisors is an integer number (265208525568).

Almost surely, 2^{45075595847760} is an apocalyptic number.

45075595847760 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 45075595847760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84866728181760).

45075595847760 is an abundant number, since it is smaller than the sum of its proper divisors (124657860515760).

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

45075595847760 is a wasteful number, since it uses less digits than its factorization.

45075595847760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436984 (or 436972 counting only the distinct ones).

The product of its (nonzero) digits is 1481760000, while the sum is 72.

The spelling of 45075595847760 in words is "forty-five trillion, seventy-five billion, five hundred ninety-five million, eight hundred forty-seven thousand, seven hundred sixty".