7368577920 has 384 divisors, whose sum is σ = 29394874080. Its totient is φ = 1680998400.

The previous prime is 7368577889. The next prime is 7368577921. The reversal of 7368577920 is 297758637.

7368577920 is a `hidden beast` number, since 7 + 3 + 68 + 577 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×7368577920² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7368577921) 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, 1073700 + ... + 1080540.

Almost surely, 2^7368577920 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 7368577920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14697437040).

7368577920 is an abundant number, since it is smaller than the sum of its proper divisors (22026296160).

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

7368577920 is a wasteful number, since it uses less digits than its factorization.

7368577920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6894 (or 6879 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The square root of 7368577920 is about 85840.4212478014. The cubic root of 7368577920 is about 1945.9330464710.

The spelling of 7368577920 in words is "seven billion, three hundred sixty-eight million, five hundred seventy-seven thousand, nine hundred twenty".