755464320000 has 2200 divisors, whose sum is σ = 3249851589600. Its totient is φ = 173187072000.

The previous prime is 755464319977. The next prime is 755464320001. The reversal of 755464320000 is 23464557.

755464320000 is a `hidden beast` number, since 7 + 5 + 5 + 4 + 643 + 2 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (755464320001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 12804479971 + ... + 12804480029.

It is an arithmetic number, because the mean of its divisors is an integer number (1477205268).

Almost surely, 2^755464320000 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 755464320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624925794800).

755464320000 is an abundant number, since it is smaller than the sum of its proper divisors (2494387269600).

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

755464320000 is a wasteful number, since it uses less digits than its factorization.

755464320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

Adding to 755464320000 its reverse (23464557), we get a palindrome (755487784557).

The spelling of 755464320000 in words is "seven hundred fifty-five billion, four hundred sixty-four million, three hundred twenty thousand".