746132570880 has 288 divisors, whose sum is σ = 2505588180480. Its totient is φ = 188862136320.

The previous prime is 746132570839. The next prime is 746132570881. The reversal of 746132570880 is 88075231647.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (746132570881) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 11537676 + ... + 11602164.

It is an arithmetic number, because the mean of its divisors is an integer number (8699958960).

Almost surely, 2^746132570880 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 746132570880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252794090240).

746132570880 is an abundant number, since it is smaller than the sum of its proper divisors (1759455609600).

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

746132570880 is a wasteful number, since it uses less digits than its factorization.

746132570880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64667 (or 64653 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 51.

The spelling of 746132570880 in words is "seven hundred forty-six billion, one hundred thirty-two million, five hundred seventy thousand, eight hundred eighty".