7268352000 has 720 divisors, whose sum is σ = 29933834112. Its totient is φ = 1533542400.

The previous prime is 7268351953. The next prime is 7268352011. The reversal of 7268352000 is 2538627.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 559103994 + ... + 559104006.

Almost surely, 2^7268352000 is an apocalyptic number.

7268352000 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 7268352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14966917056).

7268352000 is an abundant number, since it is smaller than the sum of its proper divisors (22665482112).

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

7268352000 is an equidigital number, since it uses as much as digits as its factorization.

7268352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 7268352000 is about 85254.6303727839. The cubic root of 7268352000 is about 1937.0700093309.

The spelling of 7268352000 in words is "seven billion, two hundred sixty-eight million, three hundred fifty-two thousand".