4706048793600 has 3168 divisors, whose sum is σ = 22301125017600. Its totient is φ = 919683072000.

The previous prime is 4706048793581. The next prime is 4706048793617. The reversal of 4706048793600 is 63978406074.

It is a happy number.

4706048793600 is a `hidden beast` number, since 4 + 70 + 6 + 0 + 487 + 93 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 23648486301 + ... + 23648486499.

Almost surely, 2^{4706048793600} is an apocalyptic number.

4706048793600 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 4706048793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11150562508800).

4706048793600 is an abundant number, since it is smaller than the sum of its proper divisors (17595076224000).

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

4706048793600 is a wasteful number, since it uses less digits than its factorization.

4706048793600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 4706048793600 in words is "four trillion, seven hundred six billion, forty-eight million, seven hundred ninety-three thousand, six hundred".