46349507900640 has 768 divisors, whose sum is σ = 178913416937472. Its totient is φ = 9854455209984.

The previous prime is 46349507900623. The next prime is 46349507900651. The reversal of 46349507900640 is 4600970594364.

It is a happy number.

It is a super-2 number, since 2×46349507900640² (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 127 ways as a sum of consecutive naturals, for example, 8014783189 + ... + 8014788971.

It is an arithmetic number, because the mean of its divisors is an integer number (232960178304).

Almost surely, 2^{46349507900640} is an apocalyptic number.

46349507900640 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 46349507900640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89456708468736).

46349507900640 is an abundant number, since it is smaller than the sum of its proper divisors (132563909036832).

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

46349507900640 is a wasteful number, since it uses less digits than its factorization.

46349507900640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8671 (or 8663 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 57.

The spelling of 46349507900640 in words is "forty-six trillion, three hundred forty-nine billion, five hundred seven million, nine hundred thousand, six hundred forty".