506676648000 has 896 divisors, whose sum is σ = 1846567157760. Its totient is φ = 121927680000.

The previous prime is 506676647993. The next prime is 506676648001. The reversal of 506676648000 is 846676605.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (506676648001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1031927755 + ... + 1031928245.

Almost surely, 2^506676648000 is an apocalyptic number.

506676648000 is a gapful number since it is divisible by the number (50) 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 506676648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923283578880).

506676648000 is an abundant number, since it is smaller than the sum of its proper divisors (1339890509760).

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

506676648000 is a wasteful number, since it uses less digits than its factorization.

506676648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 506676648000 in words is "five hundred six billion, six hundred seventy-six million, six hundred forty-eight thousand".