755342796672 has 320 divisors, whose sum is σ = 2386275344640. Its totient is φ = 236357222400.

The previous prime is 755342796661. The next prime is 755342796673. The reversal of 755342796672 is 276697243557.

It is a happy number.

755342796672 is a `hidden beast` number, since 7 + 5 + 53 + 427 + 96 + 6 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (755342796673) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 70673313 + ... + 70683999.

It is an arithmetic number, because the mean of its divisors is an integer number (7457110452).

Almost surely, 2^755342796672 is an apocalyptic number.

755342796672 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 755342796672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193137672320).

755342796672 is an abundant number, since it is smaller than the sum of its proper divisors (1630932547968).

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

755342796672 is a wasteful number, since it uses less digits than its factorization.

755342796672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11131 (or 11110 counting only the distinct ones).

The product of its digits is 133358400, while the sum is 63.

The spelling of 755342796672 in words is "seven hundred fifty-five billion, three hundred forty-two million, seven hundred ninety-six thousand, six hundred seventy-two".