46797984000 has 216 divisors, whose sum is σ = 168393832152. Its totient is φ = 12479385600.

The previous prime is 46797983957. The next prime is 46797984007. The reversal of 46797984000 is 48979764.

It is a happy number.

46797984000 is a `hidden beast` number, since 4 + 67 + 97 + 98 + 400 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12540416256 + 34257567744 = 111984^2 + 185088^2 .

It is not an unprimeable number, because it can be changed into a prime (46797984007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206754 + ... + 369246.

Almost surely, 2^46797984000 is an apocalyptic number.

46797984000 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 46797984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84196916076).

46797984000 is an abundant number, since it is smaller than the sum of its proper divisors (121595848152).

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

46797984000 is a wasteful number, since it uses less digits than its factorization.

46797984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162530 (or 162503 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 46797984000 in words is "forty-six billion, seven hundred ninety-seven million, nine hundred eighty-four thousand".