46624688240 has 160 divisors (see below), whose sum is σ = 130114797120. Its totient is φ = 15349727232.

The previous prime is 46624688239. The next prime is 46624688249. The reversal of 46624688240 is 4288642664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46624688249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 266522 + ... + 405318.

It is an arithmetic number, because the mean of its divisors is an integer number (813217482).

Almost surely, 2^46624688240 is an apocalyptic number.

46624688240 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 46624688240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65057398560).

46624688240 is an abundant number, since it is smaller than the sum of its proper divisors (83490108880).

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

46624688240 is a wasteful number, since it uses less digits than its factorization.

46624688240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138859 (or 138853 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 50.

The spelling of 46624688240 in words is "forty-six billion, six hundred twenty-four million, six hundred eighty-eight thousand, two hundred forty".