746777343312 has 720 divisors, whose sum is σ = 2944333836288. Its totient is φ = 171252956160.

The previous prime is 746777343311. The next prime is 746777343349. The reversal of 746777343312 is 213343777647.

746777343312 is a `hidden beast` number, since 74 + 6 + 77 + 73 + 433 + 1 + 2 = 666.

It is a super-2 number, since 2×746777343312² (a number of 25 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (746777343311) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 43090393 + ... + 43107719.

Almost surely, 2^746777343312 is an apocalyptic number.

746777343312 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 746777343312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472166918144).

746777343312 is an abundant number, since it is smaller than the sum of its proper divisors (2197556492976).

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

746777343312 is a wasteful number, since it uses less digits than its factorization.

746777343312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17408 (or 17386 counting only the distinct ones).

The product of its digits is 12446784, while the sum is 54.

The spelling of 746777343312 in words is "seven hundred forty-six billion, seven hundred seventy-seven million, three hundred forty-three thousand, three hundred twelve".