46633672800 has 432 divisors, whose sum is σ = 193194853488. Its totient is φ = 10435276800.

The previous prime is 46633672777. The next prime is 46633672801. The reversal of 46633672800 is 827633664.

46633672800 is a `hidden beast` number, since 4 + 6 + 6 + 3 + 367 + 280 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46633672801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1006954 + ... + 1052246.

It is an arithmetic number, because the mean of its divisors is an integer number (447210309).

Almost surely, 2^46633672800 is an apocalyptic number.

46633672800 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 46633672800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96597426744).

46633672800 is an abundant number, since it is smaller than the sum of its proper divisors (146561180688).

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

46633672800 is a wasteful number, since it uses less digits than its factorization.

46633672800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45343 (or 45327 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 46633672800 in words is "forty-six billion, six hundred thirty-three million, six hundred seventy-two thousand, eight hundred".