7442976000 has 576 divisors, whose sum is σ = 26570299392. Its totient is φ = 1843200000.

The previous prime is 7442975951. The next prime is 7442976011. The reversal of 7442976000 is 6792447.

It is a self number, because there is not a number n which added to its sum of digits gives 7442976000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 122015970 + ... + 122016030.

It is an arithmetic number, because the mean of its divisors is an integer number (46128992).

Almost surely, 2^7442976000 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 7442976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13285149696).

7442976000 is an abundant number, since it is smaller than the sum of its proper divisors (19127323392).

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

7442976000 is a wasteful number, since it uses less digits than its factorization.

7442976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 7442976000 is about 86272.6839735498. The cubic root of 7442976000 is about 1952.4602739743.

The spelling of 7442976000 in words is "seven billion, four hundred forty-two million, nine hundred seventy-six thousand".