46632267864 has 384 divisors, whose sum is σ = 165749068800. Its totient is φ = 12035278080.

The previous prime is 46632267863. The next prime is 46632267887. The reversal of 46632267864 is 46876223664.

46632267864 is a `hidden beast` number, since 466 + 32 + 26 + 78 + 64 = 666.

It is a super-2 number, since 2×46632267864² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 46632267864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46632267863) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6463219 + ... + 6470429.

It is an arithmetic number, because the mean of its divisors is an integer number (431638200).

Almost surely, 2^46632267864 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 46632267864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82874534400).

46632267864 is an abundant number, since it is smaller than the sum of its proper divisors (119116800936).

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

46632267864 is a wasteful number, since it uses less digits than its factorization.

46632267864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7300 (or 7283 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 54.

The spelling of 46632267864 in words is "forty-six billion, six hundred thirty-two million, two hundred sixty-seven thousand, eight hundred sixty-four".