4704741296640 has 1920 divisors, whose sum is σ = 20848065638400. Its totient is φ = 952318033920.

The previous prime is 4704741296609. The next prime is 4704741296693. The reversal of 4704741296640 is 466921474074.

It is a happy number.

4704741296640 is a `hidden beast` number, since 4 + 7 + 0 + 474 + 129 + 6 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13105128781 + ... + 13105129139.

It is an arithmetic number, because the mean of its divisors is an integer number (10858367520).

Almost surely, 2^{4704741296640} is an apocalyptic number.

4704741296640 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 4704741296640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10424032819200).

4704741296640 is an abundant number, since it is smaller than the sum of its proper divisors (16143324341760).

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

4704741296640 is a wasteful number, since it uses less digits than its factorization.

4704741296640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 4704741296640 in words is "four trillion, seven hundred four billion, seven hundred forty-one million, two hundred ninety-six thousand, six hundred forty".