946743672 has 64 divisors (see below), whose sum is σ = 2714676480. Its totient is φ = 269528832.

The previous prime is 946743659. The next prime is 946743683. The reversal of 946743672 is 276347649.

946743672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37588 + ... + 57500.

It is an arithmetic number, because the mean of its divisors is an integer number (42416820).

Almost surely, 2^946743672 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 946743672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357338240).

946743672 is an abundant number, since it is smaller than the sum of its proper divisors (1767932808).

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

946743672 is a wasteful number, since it uses less digits than its factorization.

946743672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20212 (or 20208 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 48.

The square root of 946743672 is about 30769.2000546001. The cubic root of 946743672 is about 981.9230848318.

It can be divided in two parts, 94674 and 3672, that added together give a triangular number (98346 = T₄₄₃).

The spelling of 946743672 in words is "nine hundred forty-six million, seven hundred forty-three thousand, six hundred seventy-two".