46168604640 has 768 divisors, whose sum is σ = 177124147200. Its totient is φ = 11192961024.

The previous prime is 46168604633. The next prime is 46168604693. The reversal of 46168604640 is 4640686164.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 363532257 + ... + 363532383.

It is an arithmetic number, because the mean of its divisors is an integer number (230630400).

Almost surely, 2^46168604640 is an apocalyptic number.

46168604640 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 46168604640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88562073600).

46168604640 is an abundant number, since it is smaller than the sum of its proper divisors (130955542560).

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

46168604640 is a wasteful number, since it uses less digits than its factorization.

46168604640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 46168604640 in words is "forty-six billion, one hundred sixty-eight million, six hundred four thousand, six hundred forty".