712433756034 has 1152 divisors, whose sum is σ = 2335744180224. Its totient is φ = 151345152000.

The previous prime is 712433756003. The next prime is 712433756053. The reversal of 712433756034 is 430657334217.

712433756034 is a `hidden beast` number, since 7 + 1 + 2 + 4 + 3 + 37 + 5 + 603 + 4 = 666.

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, 10034278219 + ... + 10034278289.

It is an arithmetic number, because the mean of its divisors is an integer number (2027555712).

Almost surely, 2^712433756034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 712433756034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167872090112).

712433756034 is an abundant number, since it is smaller than the sum of its proper divisors (1623310424190).

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

712433756034 is a wasteful number, since it uses less digits than its factorization.

712433756034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 45.

The spelling of 712433756034 in words is "seven hundred twelve billion, four hundred thirty-three million, seven hundred fifty-six thousand, thirty-four".