4767226002000 has 2880 divisors, whose sum is σ = 22348199956992. Its totient is φ = 960740352000.

The previous prime is 4767226001999. The next prime is 4767226002083. The reversal of 4767226002000 is 2006227674.

4767226002000 is a `hidden beast` number, since 4 + 7 + 6 + 7 + 22 + 600 + 20 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 15230753844 + ... + 15230754156.

Almost surely, 2^{4767226002000} is an apocalyptic number.

4767226002000 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 4767226002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11174099978496).

4767226002000 is an abundant number, since it is smaller than the sum of its proper divisors (17580973954992).

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

4767226002000 is a wasteful number, since it uses less digits than its factorization.

4767226002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 4767226002000 in words is "four trillion, seven hundred sixty-seven billion, two hundred twenty-six million, two thousand".