7164188640 has 768 divisors, whose sum is σ = 31072204800. Its totient is φ = 1504935936.

The previous prime is 7164188627. The next prime is 7164188651. The reversal of 7164188640 is 468814617.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21258552 + ... + 21258888.

It is an arithmetic number, because the mean of its divisors is an integer number (40458600).

Almost surely, 2^7164188640 is an apocalyptic number.

7164188640 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 7164188640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15536102400).

7164188640 is an abundant number, since it is smaller than the sum of its proper divisors (23908016160).

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

7164188640 is a wasteful number, since it uses less digits than its factorization.

7164188640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 7164188640 is about 84641.5302319139. The cubic root of 7164188640 is about 1927.7720126642.

The spelling of 7164188640 in words is "seven billion, one hundred sixty-four million, one hundred eighty-eight thousand, six hundred forty".