46700609200 has 240 divisors, whose sum is σ = 136025936640. Its totient is φ = 15050880000.

The previous prime is 46700609173. The next prime is 46700609213. The reversal of 46700609200 is 290600764.

It is a super-2 number, since 2×46700609200² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6965850 + ... + 6972550.

It is an arithmetic number, because the mean of its divisors is an integer number (566774736).

Almost surely, 2^46700609200 is an apocalyptic number.

46700609200 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 46700609200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68012968320).

46700609200 is an abundant number, since it is smaller than the sum of its proper divisors (89325327440).

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

46700609200 is a wasteful number, since it uses less digits than its factorization.

46700609200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6876 (or 6865 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The spelling of 46700609200 in words is "forty-six billion, seven hundred million, six hundred nine thousand, two hundred".