4736149721664 has 112 divisors (see below), whose sum is σ = 12788812664640. Its totient is φ = 1546434641920.

The previous prime is 4736149721663. The next prime is 4736149721671. The reversal of 4736149721664 is 4661279416374.

It is a super-2 number, since 2×4736149721664² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4736149721598 and 4736149721607.

It is not an unprimeable number, because it can be changed into a prime (4736149721663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2439232 + ... + 3927104.

Almost surely, 2^{4736149721664} 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 4736149721664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6394406332320).

4736149721664 is an abundant number, since it is smaller than the sum of its proper divisors (8052662942976).

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

4736149721664 is a wasteful number, since it uses less digits than its factorization.

4736149721664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1488228 (or 1488218 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 60.

The spelling of 4736149721664 in words is "four trillion, seven hundred thirty-six billion, one hundred forty-nine million, seven hundred twenty-one thousand, six hundred sixty-four".