746198907489792 has 400 divisors, whose sum is σ = 2230735331167200. Its totient is φ = 248339292733440.

The previous prime is 746198907489751. The next prime is 746198907489817. The reversal of 746198907489792 is 297984709891647.

746198907489792 is a `hidden beast` number, since 7 + 46 + 1 + 9 + 89 + 0 + 7 + 489 + 7 + 9 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 80072847309 + ... + 80072856627.

It is an arithmetic number, because the mean of its divisors is an integer number (5576838327918).

Almost surely, 2^{746198907489792} is an apocalyptic number.

746198907489792 is a gapful number since it is divisible by the number (72) 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 746198907489792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115367665583600).

746198907489792 is an abundant number, since it is smaller than the sum of its proper divisors (1484536423677408).

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

746198907489792 is a wasteful number, since it uses less digits than its factorization.

746198907489792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12199 (or 12174 counting only the distinct ones).

The product of its (nonzero) digits is 27653197824, while the sum is 90.

The spelling of 746198907489792 in words is "seven hundred forty-six trillion, one hundred ninety-eight billion, nine hundred seven million, four hundred eighty-nine thousand, seven hundred ninety-two".