4734801462720 has 672 divisors, whose sum is σ = 17824112736768. Its totient is φ = 1061600698368.

The previous prime is 4734801462697. The next prime is 4734801462731. The reversal of 4734801462720 is 272641084374.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4734801462720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 518423274 + ... + 518432406.

Almost surely, 2^{4734801462720} is an apocalyptic number.

4734801462720 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 4734801462720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8912056368384).

4734801462720 is an abundant number, since it is smaller than the sum of its proper divisors (13089311274048).

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

4734801462720 is a wasteful number, since it uses less digits than its factorization.

4734801462720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9377 (or 9360 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 48.

The spelling of 4734801462720 in words is "four trillion, seven hundred thirty-four billion, eight hundred one million, four hundred sixty-two thousand, seven hundred twenty".