746566659216 has 800 divisors, whose sum is σ = 2704825094400. Its totient is φ = 193969520640.

The previous prime is 746566659049. The next prime is 746566659247. The reversal of 746566659216 is 612956665647.

746566659216 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1164690256 + ... + 1164690896.

It is an arithmetic number, because the mean of its divisors is an integer number (3381031368).

Almost surely, 2^746566659216 is an apocalyptic number.

746566659216 is a gapful number since it is divisible by the number (76) 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 746566659216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352412547200).

746566659216 is an abundant number, since it is smaller than the sum of its proper divisors (1958258435184).

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

746566659216 is a wasteful number, since it uses less digits than its factorization.

746566659216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 934 counting only the distinct ones).

The product of its digits is 97977600, while the sum is 63.

The spelling of 746566659216 in words is "seven hundred forty-six billion, five hundred sixty-six million, six hundred fifty-nine thousand, two hundred sixteen".