746084933760 has 128 divisors (see below), whose sum is σ = 2378944368000. Its totient is φ = 198889168896.

The previous prime is 746084933701. The next prime is 746084933761. The reversal of 746084933760 is 67339480647.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×746084933760³ (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 746084933760.

It is not an unprimeable number, because it can be changed into a prime (746084933761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5790357 + ... + 5917803.

It is an arithmetic number, because the mean of its divisors is an integer number (18585502875).

Almost surely, 2^746084933760 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 746084933760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189472184000).

746084933760 is an abundant number, since it is smaller than the sum of its proper divisors (1632859434240).

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

746084933760 is a wasteful number, since it uses less digits than its factorization.

746084933760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130518 (or 130506 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 57.

The spelling of 746084933760 in words is "seven hundred forty-six billion, eighty-four million, nine hundred thirty-three thousand, seven hundred sixty".