46633680000 has 480 divisors, whose sum is σ = 169010899200. Its totient is φ = 12337920000.

The previous prime is 46633679987. The next prime is 46633680001. The reversal of 46633680000 is 8633664.

46633680000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×46633680000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (46633680001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 172079865 + ... + 172080135.

It is an arithmetic number, because the mean of its divisors is an integer number (352106040).

Almost surely, 2^46633680000 is an apocalyptic number.

46633680000 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 46633680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84505449600).

46633680000 is an abundant number, since it is smaller than the sum of its proper divisors (122377219200).

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

46633680000 is a wasteful number, since it uses less digits than its factorization.

46633680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 46633680000 in words is "forty-six billion, six hundred thirty-three million, six hundred eighty thousand".