4576240546020 has 1152 divisors, whose sum is σ = 17554596433920. Its totient is φ = 948423168000.

The previous prime is 4576240546019. The next prime is 4576240546057. The reversal of 4576240546020 is 206450426754.

4576240546020 is a `hidden beast` number, since 4 + 5 + 7 + 62 + 40 + 546 + 0 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6294690897 + ... + 6294691623.

It is an arithmetic number, because the mean of its divisors is an integer number (15238364960).

Almost surely, 2^{4576240546020} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4576240546020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8777298216960).

4576240546020 is an abundant number, since it is smaller than the sum of its proper divisors (12978355887900).

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

4576240546020 is a wasteful number, since it uses less digits than its factorization.

4576240546020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 4576240546020 in words is "four trillion, five hundred seventy-six billion, two hundred forty million, five hundred forty-six thousand, twenty".