4787746801200 has 2400 divisors, whose sum is σ = 20524158369792. Its totient is φ = 1056768768000.

The previous prime is 4787746801181. The next prime is 4787746801213. The reversal of 4787746801200 is 21086477874.

4787746801200 is a `hidden beast` number, since 478 + 7 + 7 + 46 + 8 + 0 + 120 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 21091395487 + ... + 21091395713.

Almost surely, 2^{4787746801200} is an apocalyptic number.

4787746801200 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 4787746801200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10262079184896).

4787746801200 is an abundant number, since it is smaller than the sum of its proper divisors (15736411568592).

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

4787746801200 is a wasteful number, since it uses less digits than its factorization.

4787746801200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The spelling of 4787746801200 in words is "four trillion, seven hundred eighty-seven billion, seven hundred forty-six million, eight hundred one thousand, two hundred".