7426608000 has 768 divisors, whose sum is σ = 30337182720. Its totient is φ = 1571328000.

The previous prime is 7426607989. The next prime is 7426608011. The reversal of 7426608000 is 8066247.

It is an interprime number because it is at equal distance from previous prime (7426607989) and next prime (7426608011).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 239567985 + ... + 239568015.

It is an arithmetic number, because the mean of its divisors is an integer number (39501540).

Almost surely, 2^7426608000 is an apocalyptic number.

7426608000 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 7426608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15168591360).

7426608000 is an abundant number, since it is smaller than the sum of its proper divisors (22910574720).

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

7426608000 is a wasteful number, since it uses less digits than its factorization.

7426608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 7426608000 is about 86177.7697553145. The cubic root of 7426608000 is about 1951.0279918322.

The spelling of 7426608000 in words is "seven billion, four hundred twenty-six million, six hundred eight thousand".