7266853440 has 840 divisors, whose sum is σ = 32570172096. Its totient is φ = 1505433600.

The previous prime is 7266853421. The next prime is 7266853459. The reversal of 7266853440 is 443586627.

7266853440 is a `hidden beast` number, since 72 + 6 + 6 + 8 + 534 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (7266853421) and next prime (7266853459).

It is a tau number, because it is divible by the number of its divisors (840).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 21954075 + ... + 21954405.

Almost surely, 2^7266853440 is an apocalyptic number.

7266853440 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 7266853440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16285086048).

7266853440 is an abundant number, since it is smaller than the sum of its proper divisors (25303318656).

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

7266853440 is a wasteful number, since it uses less digits than its factorization.

7266853440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 7266853440 is about 85245.8411888815. The cubic root of 7266853440 is about 1936.9368743758.

The spelling of 7266853440 in words is "seven billion, two hundred sixty-six million, eight hundred fifty-three thousand, four hundred forty".