746413171350240 has 48 divisors (see below), whose sum is σ = 2351201489754768. Its totient is φ = 199043512359936.

The previous prime is 746413171350229. The next prime is 746413171350241. The reversal of 746413171350240 is 42053171314647.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 746413171350240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (746413171350241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 777513719677 + ... + 777513720636.

It is an arithmetic number, because the mean of its divisors is an integer number (48983364369891).

Almost surely, 2^{746413171350240} is an apocalyptic number.

It is an amenable number.

746413171350240 is an abundant number, since it is smaller than the sum of its proper divisors (1604788318404528).

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

746413171350240 is a wasteful number, since it uses less digits than its factorization.

746413171350240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1555027440331 (or 1555027440323 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 746413171350240 in words is "seven hundred forty-six trillion, four hundred thirteen billion, one hundred seventy-one million, three hundred fifty thousand, two hundred forty".