4742658560544 has 96 divisors (see below), whose sum is σ = 12853597962240. Its totient is φ = 1529589484800.

The previous prime is 4742658560483. The next prime is 4742658560561. The reversal of 4742658560544 is 4450658562474.

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

It is a super-2 number, since 2×4742658560544² (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 15 ways as a sum of consecutive naturals, for example, 15258849 + ... + 15566559.

It is an arithmetic number, because the mean of its divisors is an integer number (133891645440).

Almost surely, 2^{4742658560544} 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 4742658560544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6426798981120).

4742658560544 is an abundant number, since it is smaller than the sum of its proper divisors (8110939401696).

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

4742658560544 is a wasteful number, since it uses less digits than its factorization.

4742658560544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312934 (or 312926 counting only the distinct ones).

The product of its (nonzero) digits is 129024000, while the sum is 60.

The spelling of 4742658560544 in words is "four trillion, seven hundred forty-two billion, six hundred fifty-eight million, five hundred sixty thousand, five hundred forty-four".