7249536000 has 1056 divisors, whose sum is σ = 31882106880. Its totient is φ = 1548288000.

The previous prime is 7249535989. The next prime is 7249536061. The reversal of 7249536000 is 6359427.

7249536000 is a `hidden beast` number, since 7 + 2 + 49 + 5 + 3 + 600 + 0 = 666.

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

It is a zygodrome in base 8.

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, 233855985 + ... + 233856015.

Almost surely, 2^7249536000 is an apocalyptic number.

7249536000 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 7249536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15941053440).

7249536000 is an abundant number, since it is smaller than the sum of its proper divisors (24632570880).

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

7249536000 is a wasteful number, since it uses less digits than its factorization.

7249536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 7249536000 is about 85144.2070842168. The cubic root of 7249536000 is about 1935.3970300822.

The spelling of 7249536000 in words is "seven billion, two hundred forty-nine million, five hundred thirty-six thousand".