755163368451072 has 2112 divisors, whose sum is σ = 2721676233646080. Its totient is φ = 206009008128000.

The previous prime is 755163368451049. The next prime is 755163368451091. The reversal of 755163368451072 is 270154863361557.

755163368451072 is a `hidden beast` number, since 7 + 5 + 5 + 1 + 6 + 3 + 36 + 84 + 510 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 1223927663308 + ... + 1223927663924.

Almost surely, 2^{755163368451072} is an apocalyptic number.

755163368451072 is a gapful number since it is divisible by the number (72) 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 755163368451072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360838116823040).

755163368451072 is an abundant number, since it is smaller than the sum of its proper divisors (1966512865195008).

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

755163368451072 is a wasteful number, since it uses less digits than its factorization.

755163368451072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 127008000, while the sum is 63.

The spelling of 755163368451072 in words is "seven hundred fifty-five trillion, one hundred sixty-three billion, three hundred sixty-eight million, four hundred fifty-one thousand, seventy-two".