4753337022720 has 1440 divisors, whose sum is σ = 21158310983040. Its totient is φ = 1001061089280.

The previous prime is 4753337022719. The next prime is 4753337022739. The reversal of 4753337022720 is 272207333574.

4753337022720 is a `hidden beast` number, since 4 + 7 + 5 + 3 + 3 + 370 + 2 + 272 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 252036651 + ... + 252055509.

It is an arithmetic number, because the mean of its divisors is an integer number (14693271516).

Almost surely, 2^{4753337022720} is an apocalyptic number.

4753337022720 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 4753337022720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10579155491520).

4753337022720 is an abundant number, since it is smaller than the sum of its proper divisors (16404973960320).

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

4753337022720 is a wasteful number, since it uses less digits than its factorization.

4753337022720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18933 (or 18910 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 45.

The spelling of 4753337022720 in words is "four trillion, seven hundred fifty-three billion, three hundred thirty-seven million, twenty-two thousand, seven hundred twenty".