7725003264 has 320 divisors, whose sum is σ = 25638180480. Its totient is φ = 2275983360.

The previous prime is 7725003241. The next prime is 7725003283. The reversal of 7725003264 is 4623005277.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 5625682 + ... + 5627054.

It is an arithmetic number, because the mean of its divisors is an integer number (80119314).

Almost surely, 2^7725003264 is an apocalyptic number.

7725003264 is a gapful number since it is divisible by the number (74) 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 7725003264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12819090240).

7725003264 is an abundant number, since it is smaller than the sum of its proper divisors (17913177216).

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

7725003264 is a wasteful number, since it uses less digits than its factorization.

7725003264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1448 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 7725003264 is about 87891.9977244800. The cubic root of 7725003264 is about 1976.8158923704.

The spelling of 7725003264 in words is "seven billion, seven hundred twenty-five million, three thousand, two hundred sixty-four".