7255765440 has 336 divisors, whose sum is σ = 31115934720. Its totient is φ = 1507645440.

The previous prime is 7255765417. The next prime is 7255765459. The reversal of 7255765440 is 445675527.

7255765440 is a `hidden beast` number, since 7 + 2 + 557 + 6 + 54 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×7255765440² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205401 + ... + 238119.

Almost surely, 2^7255765440 is an apocalyptic number.

7255765440 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 7255765440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15557967360).

7255765440 is an abundant number, since it is smaller than the sum of its proper divisors (23860169280).

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

7255765440 is a wasteful number, since it uses less digits than its factorization.

7255765440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32760 (or 32747 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 45.

The square root of 7255765440 is about 85180.7809309119. The cubic root of 7255765440 is about 1935.9512259187.

The spelling of 7255765440 in words is "seven billion, two hundred fifty-five million, seven hundred sixty-five thousand, four hundred forty".