7400088960 has 384 divisors, whose sum is σ = 26460211680. Its totient is φ = 1757184000.

The previous prime is 7400088881. The next prime is 7400088961. The reversal of 7400088960 is 698800047.

It is a happy number.

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

It is a super-2 number, since 2×7400088960² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7400088961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12312660 + ... + 12313260.

Almost surely, 2^7400088960 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 7400088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13230105840).

7400088960 is an abundant number, since it is smaller than the sum of its proper divisors (19060122720).

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

7400088960 is a wasteful number, since it uses less digits than its factorization.

7400088960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 7400088960 is about 86023.7697383694. The cubic root of 7400088960 is about 1948.7029691687.

The spelling of 7400088960 in words is "seven billion, four hundred million, eighty-eight thousand, nine hundred sixty".