46384768640 has 128 divisors (see below), whose sum is σ = 127432206720. Its totient is φ = 15815208960.

The previous prime is 46384768613. The next prime is 46384768657. The reversal of 46384768640 is 4686748364.

46384768640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 782279 + ... + 839481.

It is an arithmetic number, because the mean of its divisors is an integer number (995564115).

Almost surely, 2^46384768640 is an apocalyptic number.

46384768640 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 46384768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63716103360).

46384768640 is an abundant number, since it is smaller than the sum of its proper divisors (81047438080).

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

46384768640 is a wasteful number, since it uses less digits than its factorization.

46384768640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57410 (or 57398 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 56.

The spelling of 46384768640 in words is "forty-six billion, three hundred eighty-four million, seven hundred sixty-eight thousand, six hundred forty".