4770285696000 has 1760 divisors, whose sum is σ = 19592842224384. Its totient is φ = 1144627200000.

The previous prime is 4770285695951. The next prime is 4770285696013. The reversal of 4770285696000 is 6965820774.

4770285696000 is a `hidden beast` number, since 4 + 7 + 7 + 0 + 28 + 5 + 6 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1760).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 17221247862 + ... + 17221248138.

Almost surely, 2^{4770285696000} is an apocalyptic number.

4770285696000 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 4770285696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9796421112192).

4770285696000 is an abundant number, since it is smaller than the sum of its proper divisors (14822556528384).

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

4770285696000 is a wasteful number, since it uses less digits than its factorization.

4770285696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 4770285696000 in words is "four trillion, seven hundred seventy billion, two hundred eighty-five million, six hundred ninety-six thousand".