46764340268800 has 1296 divisors, whose sum is σ = 154205112241152. Its totient is φ = 13857504460800.

The previous prime is 46764340268797. The next prime is 46764340268827. The reversal of 46764340268800 is 886204346764.

It is a super-2 number, since 2×46764340268800² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13725956697 + ... + 13725960103.

It is an arithmetic number, because the mean of its divisors is an integer number (118985426112).

Almost surely, 2^{46764340268800} is an apocalyptic number.

46764340268800 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 46764340268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77102556120576).

46764340268800 is an abundant number, since it is smaller than the sum of its proper divisors (107440771972352).

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

46764340268800 is a wasteful number, since it uses less digits than its factorization.

46764340268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3654 (or 3628 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 58.

The spelling of 46764340268800 in words is "forty-six trillion, seven hundred sixty-four billion, three hundred forty million, two hundred sixty-eight thousand, eight hundred".