46340640000 has 720 divisors, whose sum is σ = 181602368640. Its totient is φ = 11612160000.

The previous prime is 46340639963. The next prime is 46340640001. The reversal of 46340640000 is 4604364.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46340640001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 73439685 + ... + 73440315.

It is an arithmetic number, because the mean of its divisors is an integer number (252225512).

Almost surely, 2^46340640000 is an apocalyptic number.

46340640000 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 46340640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90801184320).

46340640000 is an abundant number, since it is smaller than the sum of its proper divisors (135261728640).

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

46340640000 is an equidigital number, since it uses as much as digits as its factorization.

46340640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The spelling of 46340640000 in words is "forty-six billion, three hundred forty million, six hundred forty thousand".