755486640 has 120 divisors (see below), whose sum is σ = 2575208688. Its totient is φ = 198443520.

The previous prime is 755486629. The next prime is 755486659. The reversal of 755486640 is 46684557.

755486640 is a `hidden beast` number, since 7 + 5 + 548 + 66 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 40410 + ... + 56070.

Almost surely, 2^755486640 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 755486640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287604344).

755486640 is an abundant number, since it is smaller than the sum of its proper divisors (1819722048).

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

755486640 is a wasteful number, since it uses less digits than its factorization.

755486640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15747 (or 15738 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 755486640 is about 27486.1172230637. The cubic root of 755486640 is about 910.7704460210.

The spelling of 755486640 in words is "seven hundred fifty-five million, four hundred eighty-six thousand, six hundred forty".