4706525824000 has 1408 divisors, whose sum is σ = 15956994493440. Its totient is φ = 1337720832000.

The previous prime is 4706525823991. The next prime is 4706525824009. The reversal of 4706525824000 is 4285256074.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4706525823991) and next prime (4706525824009).

It is a tau number, because it is divible by the number of its divisors (1408).

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4706525824009) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13965951832 + ... + 13965952168.

It is an arithmetic number, because the mean of its divisors is an integer number (11333092680).

Almost surely, 2^{4706525824000} is an apocalyptic number.

4706525824000 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 4706525824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7978497246720).

4706525824000 is an abundant number, since it is smaller than the sum of its proper divisors (11250468669440).

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

4706525824000 is a wasteful number, since it uses less digits than its factorization.

4706525824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 43.

The spelling of 4706525824000 in words is "four trillion, seven hundred six billion, five hundred twenty-five million, eight hundred twenty-four thousand".