4740209131680 has 1152 divisors, whose sum is σ = 18386037476352. Its totient is φ = 1111418880000.

The previous prime is 4740209131673. The next prime is 4740209131733. The reversal of 4740209131680 is 861319020474.

4740209131680 is a `hidden beast` number, since 474 + 0 + 2 + 0 + 9 + 13 + 168 + 0 = 666.

It is a super-2 number, since 2×4740209131680² (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 an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 9098289820 + ... + 9098290340.

It is an arithmetic number, because the mean of its divisors is an integer number (15960101976).

Almost surely, 2^{4740209131680} is an apocalyptic number.

4740209131680 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 4740209131680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9193018738176).

4740209131680 is an abundant number, since it is smaller than the sum of its proper divisors (13645828344672).

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

4740209131680 is a wasteful number, since it uses less digits than its factorization.

4740209131680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 4740209131680 in words is "four trillion, seven hundred forty billion, two hundred nine million, one hundred thirty-one thousand, six hundred eighty".