4735347704640 has 448 divisors, whose sum is σ = 20096551526400. Its totient is φ = 1025398351872.

The previous prime is 4735347704629. The next prime is 4735347704657. The reversal of 4735347704640 is 464077435374.

4735347704640 is a `hidden beast` number, since 4 + 73 + 5 + 3 + 47 + 70 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 911304 + ... + 3209543.

Almost surely, 2^{4735347704640} is an apocalyptic number.

4735347704640 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 4735347704640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10048275763200).

4735347704640 is an abundant number, since it is smaller than the sum of its proper divisors (15361203821760).

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

4735347704640 is a wasteful number, since it uses less digits than its factorization.

4735347704640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4120899 (or 4120883 counting only the distinct ones).

The product of its (nonzero) digits is 23708160, while the sum is 54.

The spelling of 4735347704640 in words is "four trillion, seven hundred thirty-five billion, three hundred forty-seven million, seven hundred four thousand, six hundred forty".