46867766400 has 960 divisors, whose sum is σ = 212971577280. Its totient is φ = 9883607040.

The previous prime is 46867766359. The next prime is 46867766401. The reversal of 46867766400 is 466776864.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is not an unprimeable number, because it can be changed into a prime (46867766401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 23586207 + ... + 23588193.

It is an arithmetic number, because the mean of its divisors is an integer number (221845393).

Almost surely, 2^46867766400 is an apocalyptic number.

46867766400 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 46867766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106485788640).

46867766400 is an abundant number, since it is smaller than the sum of its proper divisors (166103810880).

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

46867766400 is a wasteful number, since it uses less digits than its factorization.

46867766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2043 (or 2017 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 46867766400 in words is "forty-six billion, eight hundred sixty-seven million, seven hundred sixty-six thousand, four hundred".