7140564480 has 320 divisors, whose sum is σ = 26233320960. Its totient is φ = 1623097344.

The previous prime is 7140564479. The next prime is 7140564517. The reversal of 7140564480 is 844650417.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×7140564480² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17041711 + ... + 17042129.

It is an arithmetic number, because the mean of its divisors is an integer number (81979128).

Almost surely, 2^7140564480 is an apocalyptic number.

7140564480 is a gapful number since it is divisible by the number (70) 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 7140564480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13116660480).

7140564480 is an abundant number, since it is smaller than the sum of its proper divisors (19092756480).

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

7140564480 is a wasteful number, since it uses less digits than its factorization.

7140564480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 7140564480 is about 84501.8608079136. The cubic root of 7140564480 is about 1925.6507142899.

The spelling of 7140564480 in words is "seven billion, one hundred forty million, five hundred sixty-four thousand, four hundred eighty".