755064253440 has 2112 divisors, whose sum is σ = 3387238041600. Its totient is φ = 158445600768.

The previous prime is 755064253403. The next prime is 755064253451. The reversal of 755064253440 is 44352460557.

755064253440 is a `hidden beast` number, since 7 + 5 + 50 + 64 + 2 + 534 + 4 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 9097159639 + ... + 9097159721.

Almost surely, 2^755064253440 is an apocalyptic number.

755064253440 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 755064253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693619020800).

755064253440 is an abundant number, since it is smaller than the sum of its proper divisors (2632173788160).

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

755064253440 is a wasteful number, since it uses less digits than its factorization.

755064253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 45.

The spelling of 755064253440 in words is "seven hundred fifty-five billion, sixty-four million, two hundred fifty-three thousand, four hundred forty".