4742170997760 has 1320 divisors, whose sum is σ = 19789438331520. Its totient is φ = 1063726940160.

The previous prime is 4742170997749. The next prime is 4742170997777. The reversal of 4742170997760 is 677990712474.

4742170997760 is a `hidden beast` number, since 474 + 2 + 1 + 7 + 0 + 9 + 97 + 76 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10802211621 + ... + 10802212059.

It is an arithmetic number, because the mean of its divisors is an integer number (14991998736).

Almost surely, 2^{4742170997760} is an apocalyptic number.

4742170997760 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 4742170997760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9894719165760).

4742170997760 is an abundant number, since it is smaller than the sum of its proper divisors (15047267333760).

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

4742170997760 is an equidigital number, since it uses as much as digits as its factorization.

4742170997760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 37340352, while the sum is 63.

The spelling of 4742170997760 in words is "four trillion, seven hundred forty-two billion, one hundred seventy million, nine hundred ninety-seven thousand, seven hundred sixty".