746065894560 has 384 divisors, whose sum is σ = 2787067035648. Its totient is φ = 164160000000.

The previous prime is 746065894543. The next prime is 746065894571. The reversal of 746065894560 is 65498560647.

It is a super-2 number, since 2×746065894560² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 746065894494 and 746065894503.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19875810 + ... + 19913310.

It is an arithmetic number, because the mean of its divisors is an integer number (7257987072).

Almost surely, 2^746065894560 is an apocalyptic number.

746065894560 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 746065894560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393533517824).

746065894560 is an abundant number, since it is smaller than the sum of its proper divisors (2041001141088).

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

746065894560 is a wasteful number, since it uses less digits than its factorization.

746065894560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37748 (or 37740 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 60.

The spelling of 746065894560 in words is "seven hundred forty-six billion, sixty-five million, eight hundred ninety-four thousand, five hundred sixty".