7263493440 has 672 divisors, whose sum is σ = 29421149184. Its totient is φ = 1507000320.

The previous prime is 7263493417. The next prime is 7263493463. The reversal of 7263493440 is 443943627.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7263493417) and next prime (7263493463).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 7263493392 and 7263493401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24789934 + ... + 24790226.

It is an arithmetic number, because the mean of its divisors is an integer number (43781472).

Almost surely, 2^7263493440 is an apocalyptic number.

7263493440 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 7263493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14710574592).

7263493440 is an abundant number, since it is smaller than the sum of its proper divisors (22157655744).

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

7263493440 is a wasteful number, since it uses less digits than its factorization.

7263493440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 42.

The square root of 7263493440 is about 85226.1312039917. The cubic root of 7263493440 is about 1936.6382989667.

The spelling of 7263493440 in words is "seven billion, two hundred sixty-three million, four hundred ninety-three thousand, four hundred forty".