4627775232000 has 576 divisors, whose sum is σ = 17218948481280. Its totient is φ = 1194246144000.

The previous prime is 4627775231999. The next prime is 4627775232011. The reversal of 4627775232000 is 2325777264.

4627775232000 is a `hidden beast` number, since 4 + 6 + 277 + 7 + 52 + 320 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71391604 + ... + 71456396.

It is an arithmetic number, because the mean of its divisors is an integer number (29894007780).

Almost surely, 2^{4627775232000} is an apocalyptic number.

4627775232000 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 4627775232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8609474240640).

4627775232000 is an abundant number, since it is smaller than the sum of its proper divisors (12591173249280).

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

4627775232000 is a wasteful number, since it uses less digits than its factorization.

4627775232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64867 (or 64834 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 45.

The spelling of 4627775232000 in words is "four trillion, six hundred twenty-seven billion, seven hundred seventy-five million, two hundred thirty-two thousand".