46730340384 has 576 divisors, whose sum is σ = 165059596800. Its totient is φ = 11432558592.

The previous prime is 46730340347. The next prime is 46730340409. The reversal of 46730340384 is 48304303764.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 82126852 + ... + 82127420.

It is an arithmetic number, because the mean of its divisors is an integer number (286561800).

Almost surely, 2^46730340384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46730340384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82529798400).

46730340384 is an abundant number, since it is smaller than the sum of its proper divisors (118329256416).

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

46730340384 is a wasteful number, since it uses less digits than its factorization.

46730340384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 42.

The spelling of 46730340384 in words is "forty-six billion, seven hundred thirty million, three hundred forty thousand, three hundred eighty-four".