7268173440 has 512 divisors, whose sum is σ = 26523002880. Its totient is φ = 1677312000.

The previous prime is 7268173433. The next prime is 7268173463. The reversal of 7268173440 is 443718627.

It is a junction number, because it is equal to n+sod(n) for n = 7268173392 and 7268173401.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55482175 + ... + 55482305.

It is an arithmetic number, because the mean of its divisors is an integer number (51802740).

Almost surely, 2^7268173440 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 7268173440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13261501440).

7268173440 is an abundant number, since it is smaller than the sum of its proper divisors (19254829440).

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

7268173440 is a wasteful number, since it uses less digits than its factorization.

7268173440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 7268173440 is about 85253.5831505046. The cubic root of 7268173440 is about 1937.0541466772.

The spelling of 7268173440 in words is "seven billion, two hundred sixty-eight million, one hundred seventy-three thousand, four hundred forty".