736485147648 has 1056 divisors, whose sum is σ = 2560378429440. Its totient is φ = 202038312960.

The previous prime is 736485147611. The next prime is 736485147683. The reversal of 736485147648 is 846741584637.

736485147648 is a `hidden beast` number, since 7 + 3 + 6 + 4 + 8 + 514 + 76 + 48 = 666.

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 95 ways as a sum of consecutive naturals, for example, 2122435411 + ... + 2122435757.

Almost surely, 2^736485147648 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 736485147648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280189214720).

736485147648 is an abundant number, since it is smaller than the sum of its proper divisors (1823893281792).

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

736485147648 is a wasteful number, since it uses less digits than its factorization.

736485147648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 442 counting only the distinct ones).

The product of its digits is 108380160, while the sum is 63.

It can be divided in two parts, 73648 and 5147648, that added together give a triangular number (5221296 = T₃₂₃₁).

The spelling of 736485147648 in words is "seven hundred thirty-six billion, four hundred eighty-five million, one hundred forty-seven thousand, six hundred forty-eight".