46570680000 has 1120 divisors, whose sum is σ = 191962552320. Its totient is φ = 10990080000.

The previous prime is 46570679983. The next prime is 46570680001. The reversal of 46570680000 is 8607564.

It is a happy number.

46570680000 is a `hidden beast` number, since 4 + 6 + 570 + 6 + 80 + 0 + 0 + 0 = 666.

46570680000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46570680001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 435239947 + ... + 435240053.

It is an arithmetic number, because the mean of its divisors is an integer number (171395136).

Almost surely, 2^46570680000 is an apocalyptic number.

46570680000 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 46570680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95981276160).

46570680000 is an abundant number, since it is smaller than the sum of its proper divisors (145391872320).

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

46570680000 is a wasteful number, since it uses less digits than its factorization.

46570680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 46570680000 in words is "forty-six billion, five hundred seventy million, six hundred eighty thousand".