4827293352000 has 672 divisors, whose sum is σ = 19747762205184. Its totient is φ = 1102662144000.

The previous prime is 4827293351971. The next prime is 4827293352017. The reversal of 4827293352000 is 2533927284.

4827293352000 is a `hidden beast` number, since 4 + 8 + 2 + 7 + 293 + 352 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×4827293352000² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1366342234 + ... + 1366345766.

Almost surely, 2^{4827293352000} is an apocalyptic number.

4827293352000 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 4827293352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9873881102592).

4827293352000 is an abundant number, since it is smaller than the sum of its proper divisors (14920468853184).

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

4827293352000 is a wasteful number, since it uses less digits than its factorization.

4827293352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6284 (or 6261 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 4827293352000 in words is "four trillion, eight hundred twenty-seven billion, two hundred ninety-three million, three hundred fifty-two thousand".