7618440960 has 576 divisors, whose sum is σ = 30108610560. Its totient is φ = 1811496960.

The previous prime is 7618440941. The next prime is 7618440961. The reversal of 7618440960 is 690448167.

7618440960 is a `hidden beast` number, since 7 + 6 + 184 + 409 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×7618440960² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7618440961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13927407 + ... + 13927953.

Almost surely, 2^7618440960 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 7618440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15054305280).

7618440960 is an abundant number, since it is smaller than the sum of its proper divisors (22490169600).

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

7618440960 is a wasteful number, since it uses less digits than its factorization.

7618440960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 7618440960 is about 87283.6809489609. The cubic root of 7618440960 is about 1967.6840658813.

The spelling of 7618440960 in words is "seven billion, six hundred eighteen million, four hundred forty thousand, nine hundred sixty".