7545641721600 has 864 divisors, whose sum is σ = 26351897370624. Its totient is φ = 1897722675200.

The previous prime is 7545641721593. The next prime is 7545641721617. The reversal of 7545641721600 is 61271465457.

It is a super-2 number, since 2×7545641721600² (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 7545641721600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11555346874 + ... + 11555347526.

It is an arithmetic number, because the mean of its divisors is an integer number (30499881216).

Almost surely, 2^{7545641721600} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7545641721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13175948685312).

7545641721600 is an abundant number, since it is smaller than the sum of its proper divisors (18806255649024).

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

7545641721600 is a wasteful number, since it uses less digits than its factorization.

7545641721600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The spelling of 7545641721600 in words is "seven trillion, five hundred forty-five billion, six hundred forty-one million, seven hundred twenty-one thousand, six hundred".