753412427000 has 64 divisors (see below), whose sum is σ = 1765653776640. Its totient is φ = 300908784000.

The previous prime is 753412426979. The next prime is 753412427017. The reversal of 753412427000 is 724214357.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91097 + ... + 1230903.

It is an arithmetic number, because the mean of its divisors is an integer number (27588340260).

Almost surely, 2^753412427000 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 753412427000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882826888320).

753412427000 is an abundant number, since it is smaller than the sum of its proper divisors (1012241349640).

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

753412427000 is a wasteful number, since it uses less digits than its factorization.

753412427000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140489 (or 1140475 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 35.

The spelling of 753412427000 in words is "seven hundred fifty-three billion, four hundred twelve million, four hundred twenty-seven thousand".