746573745120 has 384 divisors, whose sum is σ = 2749469184000. Its totient is φ = 170212847616.

The previous prime is 746573745097. The next prime is 746573745121. The reversal of 746573745120 is 21547375647.

746573745120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (746573745121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67332217 + ... + 67343303.

It is an arithmetic number, because the mean of its divisors is an integer number (7160076000).

Almost surely, 2^746573745120 is an apocalyptic number.

746573745120 is a gapful number since it is divisible by the number (70) 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 746573745120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374734592000).

746573745120 is an abundant number, since it is smaller than the sum of its proper divisors (2002895438880).

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

746573745120 is a wasteful number, since it uses less digits than its factorization.

746573745120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11535 (or 11513 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 51.

The spelling of 746573745120 in words is "seven hundred forty-six billion, five hundred seventy-three million, seven hundred forty-five thousand, one hundred twenty".