7250761440 has 768 divisors, whose sum is σ = 29018787840. Its totient is φ = 1678786560.

The previous prime is 7250761429. The next prime is 7250761459. The reversal of 7250761440 is 441670527.

7250761440 is a `hidden beast` number, since 7 + 2 + 507 + 6 + 144 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 7250761395 and 7250761404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 108220287 + ... + 108220353.

It is an arithmetic number, because the mean of its divisors is an integer number (37784880).

Almost surely, 2^7250761440 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 7250761440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14509393920).

7250761440 is an abundant number, since it is smaller than the sum of its proper divisors (21768026400).

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

7250761440 is a wasteful number, since it uses less digits than its factorization.

7250761440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 7250761440 is about 85151.4030418759. The cubic root of 7250761440 is about 1935.5060751904.

The spelling of 7250761440 in words is "seven billion, two hundred fifty million, seven hundred sixty-one thousand, four hundred forty".