4636097072640 has 720 divisors, whose sum is σ = 17684755071984. Its totient is φ = 1121591623680.

The previous prime is 4636097072639. The next prime is 4636097072701. The reversal of 4636097072640 is 462707906364.

4636097072640 is a `hidden beast` number, since 4 + 6 + 3 + 609 + 7 + 0 + 7 + 26 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1636460664 + ... + 1636463496.

Almost surely, 2^{4636097072640} is an apocalyptic number.

4636097072640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4636097072640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8842377535992).

4636097072640 is an abundant number, since it is smaller than the sum of its proper divisors (13048657999344).

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

4636097072640 is a wasteful number, since it uses less digits than its factorization.

4636097072640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3471 (or 3441 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 4636097072640 in words is "four trillion, six hundred thirty-six billion, ninety-seven million, seventy-two thousand, six hundred forty".