746714146560 has 288 divisors, whose sum is σ = 2445349374720. Its totient is φ = 194079129600.

The previous prime is 746714146543. The next prime is 746714146561. The reversal of 746714146560 is 65641417647.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (746714146561) 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 31 ways as a sum of consecutive naturals, for example, 247336731 + ... + 247339749.

It is an arithmetic number, because the mean of its divisors is an integer number (8490796440).

Almost surely, 2^746714146560 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 746714146560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222674687360).

746714146560 is an abundant number, since it is smaller than the sum of its proper divisors (1698635228160).

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

746714146560 is a wasteful number, since it uses less digits than its factorization.

746714146560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4655 (or 4641 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The spelling of 746714146560 in words is "seven hundred forty-six billion, seven hundred fourteen million, one hundred forty-six thousand, five hundred sixty".