46760045640 has 256 divisors, whose sum is σ = 185183262720. Its totient is φ = 9144791040.

The previous prime is 46760045599. The next prime is 46760045641. The reversal of 46760045640 is 4654006764.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 46760045592 and 46760045601.

It is not an unprimeable number, because it can be changed into a prime (46760045641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8239 + ... + 305921.

It is an arithmetic number, because the mean of its divisors is an integer number (723372120).

Almost surely, 2^46760045640 is an apocalyptic number.

46760045640 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 46760045640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92591631360).

46760045640 is an abundant number, since it is smaller than the sum of its proper divisors (138423217080).

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

46760045640 is a wasteful number, since it uses less digits than its factorization.

46760045640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297732 (or 297728 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 46760045640 in words is "forty-six billion, seven hundred sixty million, forty-five thousand, six hundred forty".