45075279360 has 160 divisors (see below), whose sum is σ = 144247910400. Its totient is φ = 12007743488.

The previous prime is 45075279331. The next prime is 45075279367. The reversal of 45075279360 is 6397257054.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45075279367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9390241 + ... + 9395039.

It is an arithmetic number, because the mean of its divisors is an integer number (901549440).

Almost surely, 2^45075279360 is an apocalyptic number.

45075279360 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 45075279360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72123955200).

45075279360 is an abundant number, since it is smaller than the sum of its proper divisors (99172631040).

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

45075279360 is a wasteful number, since it uses less digits than its factorization.

45075279360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6048 (or 6032 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 48.

The spelling of 45075279360 in words is "forty-five billion, seventy-five million, two hundred seventy-nine thousand, three hundred sixty".