7464268800 has 264 divisors, whose sum is σ = 27413424000. Its totient is φ = 1990287360.

The previous prime is 7464268793. The next prime is 7464268841. The reversal of 7464268800 is 88624647.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 685801 + ... + 696599.

Almost surely, 2^7464268800 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 7464268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13706712000).

7464268800 is an abundant number, since it is smaller than the sum of its proper divisors (19949155200).

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

7464268800 is a wasteful number, since it uses less digits than its factorization.

7464268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10838 (or 10809 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 7464268800 is about 86395.9999074031. Note that the first 4 decimals coincide. The cubic root of 7464268800 is about 1954.3203616950.

The spelling of 7464268800 in words is "seven billion, four hundred sixty-four million, two hundred sixty-eight thousand, eight hundred".