7368000640 has 768 divisors, whose sum is σ = 25317411840. Its totient is φ = 2012774400.

The previous prime is 7368000611. The next prime is 7368000641. The reversal of 7368000640 is 460008637.

It is a junction number, because it is equal to n+sod(n) for n = 7368000596 and 7368000605.

It is not an unprimeable number, because it can be changed into a prime (7368000641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 139018854 + ... + 139018906.

It is an arithmetic number, because the mean of its divisors is an integer number (32965380).

Almost surely, 2^7368000640 is an apocalyptic number.

7368000640 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 7368000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12658705920).

7368000640 is an abundant number, since it is smaller than the sum of its proper divisors (17949411200).

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

7368000640 is a wasteful number, since it uses less digits than its factorization.

7368000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 7368000640 is about 85837.0586634934. The cubic root of 7368000640 is about 1945.8822280916.

The spelling of 7368000640 in words is "seven billion, three hundred sixty-eight million, six hundred forty", and thus it is an aban number.