4746901524480 has 312 divisors, whose sum is σ = 17421805446552. Its totient is φ = 1191378419712.

The previous prime is 4746901524467. The next prime is 4746901524503. The reversal of 4746901524480 is 844251096474.

4746901524480 is a `hidden beast` number, since 4 + 7 + 4 + 6 + 9 + 0 + 152 + 4 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1046479896576 + 3700421627904 = 1022976^2 + 1923648^2 .

It is a super-2 number, since 2×4746901524480² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2375982 + ... + 3890898.

It is an arithmetic number, because the mean of its divisors is an integer number (55839120021).

Almost surely, 2^{4746901524480} is an apocalyptic number.

4746901524480 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 4746901524480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8710902723276).

4746901524480 is an abundant number, since it is smaller than the sum of its proper divisors (12674903922072).

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

4746901524480 is a wasteful number, since it uses less digits than its factorization.

4746901524480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514969 (or 1514944 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 4746901524480 in words is "four trillion, seven hundred forty-six billion, nine hundred one million, five hundred twenty-four thousand, four hundred eighty".