746267940000 has 1440 divisors, whose sum is σ = 3094829337600. Its totient is φ = 168618240000.

The previous prime is 746267939999. The next prime is 746267940127. The reversal of 746267940000 is 49762647.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3122459881 + ... + 3122460119.

It is an arithmetic number, because the mean of its divisors is an integer number (2149187040).

Almost surely, 2^746267940000 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 746267940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547414668800).

746267940000 is an abundant number, since it is smaller than the sum of its proper divisors (2348561397600).

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

746267940000 is a wasteful number, since it uses less digits than its factorization.

746267940000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 746267940000 in words is "seven hundred forty-six billion, two hundred sixty-seven million, nine hundred forty thousand".