4795967761200 has 720 divisors, whose sum is σ = 21443463086080. Its totient is φ = 996562828800.

The previous prime is 4795967761153. The next prime is 4795967761217. The reversal of 4795967761200 is 21677695974.

4795967761200 is a `hidden beast` number, since 4 + 7 + 9 + 5 + 9 + 6 + 7 + 7 + 612 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8885457 + ... + 9409743.

Almost surely, 2^{4795967761200} is an apocalyptic number.

4795967761200 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 4795967761200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10721731543040).

4795967761200 is an abundant number, since it is smaller than the sum of its proper divisors (16647495324880).

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

4795967761200 is a wasteful number, since it uses less digits than its factorization.

4795967761200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524343 (or 524315 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 63.

The spelling of 4795967761200 in words is "four trillion, seven hundred ninety-five billion, nine hundred sixty-seven million, seven hundred sixty-one thousand, two hundred".