4687828992000 has 2400 divisors, whose sum is σ = 21850717464576. Its totient is φ = 971440128000.

The previous prime is 4687828991981. The next prime is 4687828992029. The reversal of 4687828992000 is 2998287864.

4687828992000 is a `hidden beast` number, since 468 + 7 + 8 + 2 + 89 + 92 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12773375817 + ... + 12773376183.

Almost surely, 2^{4687828992000} is an apocalyptic number.

4687828992000 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 4687828992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10925358732288).

4687828992000 is an abundant number, since it is smaller than the sum of its proper divisors (17162888472576).

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

4687828992000 is an equidigital number, since it uses as much as digits as its factorization.

4687828992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 4687828992000 in words is "four trillion, six hundred eighty-seven billion, eight hundred twenty-eight million, nine hundred ninety-two thousand".