7543964160 has 480 divisors, whose sum is σ = 27650855232. Its totient is φ = 1970749440.

The previous prime is 7543964159. The next prime is 7543964167. The reversal of 7543964160 is 614693457.

7543964160 is a `hidden beast` number, since 7 + 543 + 9 + 6 + 41 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×7543964160² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (7543964167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41679270 + ... + 41679450.

Almost surely, 2^7543964160 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 7543964160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13825427616).

7543964160 is an abundant number, since it is smaller than the sum of its proper divisors (20106891072).

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

7543964160 is an equidigital number, since it uses as much as digits as its factorization.

7543964160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 7543964160 is about 86855.9966841668. The cubic root of 7543964160 is about 1961.2511240118.

The spelling of 7543964160 in words is "seven billion, five hundred forty-three million, nine hundred sixty-four thousand, one hundred sixty".