45078329640960 has 2880 divisors, whose sum is σ = 208638277848000. Its totient is φ = 9202776145920.

The previous prime is 45078329640959. The next prime is 45078329640977. The reversal of 45078329640960 is 6904692387054.

45078329640960 is a `hidden beast` number, since 4 + 5 + 0 + 7 + 83 + 2 + 96 + 409 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 239 ways as a sum of consecutive naturals, for example, 26377020586 + ... + 26377022294.

It is an arithmetic number, because the mean of its divisors is an integer number (72443846475).

Almost surely, 2^{45078329640960} is an apocalyptic number.

45078329640960 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 45078329640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104319138924000).

45078329640960 is an abundant number, since it is smaller than the sum of its proper divisors (163559948207040).

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

45078329640960 is a wasteful number, since it uses less digits than its factorization.

45078329640960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1832 (or 1796 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 45078329640960 in words is "forty-five trillion, seventy-eight billion, three hundred twenty-nine million, six hundred forty thousand, nine hundred sixty".