746869697280 has 1728 divisors, whose sum is σ = 3269531381760. Its totient is φ = 160712294400.

The previous prime is 746869697263. The next prime is 746869697291. The reversal of 746869697280 is 82796968647.

746869697280 is a `hidden beast` number, since 7 + 468 + 6 + 96 + 9 + 72 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 746869697199 and 746869697208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2152362067 + ... + 2152362413.

It is an arithmetic number, because the mean of its divisors is an integer number (1892089920).

Almost surely, 2^746869697280 is an apocalyptic number.

746869697280 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 746869697280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634765690880).

746869697280 is an abundant number, since it is smaller than the sum of its proper divisors (2522661684480).

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

746869697280 is a wasteful number, since it uses less digits than its factorization.

746869697280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 72.

The spelling of 746869697280 in words is "seven hundred forty-six billion, eight hundred sixty-nine million, six hundred ninety-seven thousand, two hundred eighty".