45960370560 has 384 divisors, whose sum is σ = 173485035360. Its totient is φ = 11143249920.

The previous prime is 45960370531. The next prime is 45960370571. The reversal of 45960370560 is 6507306954.

45960370560 is a `hidden beast` number, since 4 + 59 + 6 + 0 + 37 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×45960370560² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5012380 + ... + 5021540.

Almost surely, 2^45960370560 is an apocalyptic number.

45960370560 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 45960370560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86742517680).

45960370560 is an abundant number, since it is smaller than the sum of its proper divisors (127524664800).

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

45960370560 is a wasteful number, since it uses less digits than its factorization.

45960370560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9266 (or 9251 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 45960370560 in words is "forty-five billion, nine hundred sixty million, three hundred seventy thousand, five hundred sixty".