4742698884480 has 384 divisors, whose sum is σ = 17142478778880. Its totient is φ = 1252895496192.

The previous prime is 4742698884431. The next prime is 4742698884481. The reversal of 4742698884480 is 844888962474.

It is a happy number.

4742698884480 is a `hidden beast` number, since 4 + 7 + 4 + 2 + 69 + 8 + 8 + 84 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 4742698884399 and 4742698884408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4742698884481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16498137 + ... + 16783143.

It is an arithmetic number, because the mean of its divisors is an integer number (44641871820).

Almost surely, 2^{4742698884480} is an apocalyptic number.

4742698884480 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 4742698884480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8571239389440).

4742698884480 is an abundant number, since it is smaller than the sum of its proper divisors (12399779894400).

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

4742698884480 is a wasteful number, since it uses less digits than its factorization.

4742698884480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285148 (or 285124 counting only the distinct ones).

The product of its (nonzero) digits is 792723456, while the sum is 72.

The spelling of 4742698884480 in words is "four trillion, seven hundred forty-two billion, six hundred ninety-eight million, eight hundred eighty-four thousand, four hundred eighty".