4600476740064 has 96 divisors (see below), whose sum is σ = 12139611644160. Its totient is φ = 1525460428800.

The previous prime is 4600476740029. The next prime is 4600476740107.

4600476740064 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 4600476739995 and 4600476740022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21153799 + ... + 21370169.

It is an arithmetic number, because the mean of its divisors is an integer number (126454287960).

Almost surely, 2^{4600476740064} 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 4600476740064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6069805822080).

4600476740064 is an abundant number, since it is smaller than the sum of its proper divisors (7539134904096).

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

4600476740064 is a wasteful number, since it uses less digits than its factorization.

4600476740064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217544 (or 217536 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 48.

The spelling of 4600476740064 in words is "four trillion, six hundred billion, four hundred seventy-six million, seven hundred forty thousand, sixty-four".