755863027920 has 2880 divisors, whose sum is σ = 3734400983040. Its totient is φ = 139520102400.

The previous prime is 755863027849. The next prime is 755863027943. The reversal of 755863027920 is 29720368557.

755863027920 is a `hidden beast` number, since 7 + 5 + 586 + 30 + 2 + 7 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 4222698391 + ... + 4222698569.

It is an arithmetic number, because the mean of its divisors is an integer number (1296667008).

Almost surely, 2^755863027920 is an apocalyptic number.

755863027920 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 755863027920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867200491520).

755863027920 is an abundant number, since it is smaller than the sum of its proper divisors (2978537955120).

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

755863027920 is a wasteful number, since it uses less digits than its factorization.

755863027920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 755863027920 in words is "seven hundred fifty-five billion, eight hundred sixty-three million, twenty-seven thousand, nine hundred twenty".