4770893001600 has 960 divisors, whose sum is σ = 20336138024400. Its totient is φ = 1088534937600.

The previous prime is 4770893001577. The next prime is 4770893001601. The reversal of 4770893001600 is 61003980774.

4770893001600 is a `hidden beast` number, since 4 + 7 + 7 + 0 + 8 + 9 + 30 + 0 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×4770893001600² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4770893001601) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 48421186 + ... + 48519614.

Almost surely, 2^{4770893001600} is an apocalyptic number.

4770893001600 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 4770893001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10168069012200).

4770893001600 is an abundant number, since it is smaller than the sum of its proper divisors (15565245022800).

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

4770893001600 is a wasteful number, since it uses less digits than its factorization.

4770893001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98493 (or 98467 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 4770893001600 in words is "four trillion, seven hundred seventy billion, eight hundred ninety-three million, one thousand, six hundred".