7426298880 has 1584 divisors, whose sum is σ = 36695078784. Its totient is φ = 1362493440.

The previous prime is 7426298843. The next prime is 7426298909. The reversal of 7426298880 is 888926247.

7426298880 is a `hidden beast` number, since 7 + 4 + 2 + 629 + 8 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 322882549 + ... + 322882571.

Almost surely, 2^7426298880 is an apocalyptic number.

7426298880 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 7426298880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18347539392).

7426298880 is an abundant number, since it is smaller than the sum of its proper divisors (29268779904).

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

7426298880 is a wasteful number, since it uses less digits than its factorization.

7426298880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 7426298880 is about 86175.9762346792. The cubic root of 7426298880 is about 1951.0009220429. Note that the first 3 decimals are identical.

The spelling of 7426298880 in words is "seven billion, four hundred twenty-six million, two hundred ninety-eight thousand, eight hundred eighty".