7378560000 has 880 divisors, whose sum is σ = 31718346880. Its totient is φ = 1658880000.

The previous prime is 7378559977. The next prime is 7378560029. The reversal of 7378560000 is 658737.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 120959970 + ... + 120960030.

It is an arithmetic number, because the mean of its divisors is an integer number (36043576).

Almost surely, 2^7378560000 is an apocalyptic number.

7378560000 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 7378560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15859173440).

7378560000 is an abundant number, since it is smaller than the sum of its proper divisors (24339786880).

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

7378560000 is an equidigital number, since it uses as much as digits as its factorization.

7378560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 7378560000 is about 85898.5448072317. The cubic root of 7378560000 is about 1946.8113568148.

The spelling of 7378560000 in words is "seven billion, three hundred seventy-eight million, five hundred sixty thousand".