46966264974720 has 4096 divisors, whose sum is σ = 230492086272000. Its totient is φ = 8755382845440.

The previous prime is 46966264974689. The next prime is 46966264974841. The reversal of 46966264974720 is 2747946266964.

46966264974720 is a `hidden beast` number, since 4 + 6 + 9 + 6 + 6 + 2 + 64 + 97 + 472 + 0 = 666.

It is a super-2 number, since 2×46966264974720² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 28174123327 + ... + 28174124993.

It is an arithmetic number, because the mean of its divisors is an integer number (56272482000).

Almost surely, 2^{46966264974720} is an apocalyptic number.

46966264974720 is a gapful number since it is divisible by the number (40) 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 46966264974720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115246043136000).

46966264974720 is an abundant number, since it is smaller than the sum of its proper divisors (183525821297280).

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

46966264974720 is a wasteful number, since it uses less digits than its factorization.

46966264974720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1798 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 1316818944, while the sum is 72.

The spelling of 46966264974720 in words is "forty-six trillion, nine hundred sixty-six billion, two hundred sixty-four million, nine hundred seventy-four thousand, seven hundred twenty".