45073052640 has 1440 divisors, whose sum is σ = 209285379072. Its totient is φ = 8870860800.

The previous prime is 45073052639. The next prime is 45073052653. The reversal of 45073052640 is 4625037054.

45073052640 is a `hidden beast` number, since 4 + 5 + 0 + 7 + 3 + 0 + 5 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45073052595 and 45073052604.

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 239 ways as a sum of consecutive naturals, for example, 959001097 + ... + 959001143.

Almost surely, 2^45073052640 is an apocalyptic number.

45073052640 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 45073052640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104642689536).

45073052640 is an abundant number, since it is smaller than the sum of its proper divisors (164212326432).

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

45073052640 is a wasteful number, since it uses less digits than its factorization.

45073052640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

Adding to 45073052640 its reverse (4625037054), we get a palindrome (49698089694).

The spelling of 45073052640 in words is "forty-five billion, seventy-three million, fifty-two thousand, six hundred forty".