4946984720640 has 360 divisors, whose sum is σ = 17777273682168. Its totient is φ = 1313527726080.

The previous prime is 4946984720593. The next prime is 4946984720683. The reversal of 4946984720640 is 460274896494.

4946984720640 is a `hidden beast` number, since 49 + 4 + 69 + 8 + 472 + 0 + 64 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 276406753536 + 4670577967104 = 525744^2 + 2161152^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24055050 + ... + 24259830.

Almost surely, 2^{4946984720640} is an apocalyptic number.

4946984720640 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 4946984720640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8888636841084).

4946984720640 is an abundant number, since it is smaller than the sum of its proper divisors (12830288961528).

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

4946984720640 is a wasteful number, since it uses less digits than its factorization.

4946984720640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205047 (or 205024 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 4946984720640 in words is "four trillion, nine hundred forty-six billion, nine hundred eighty-four million, seven hundred twenty thousand, six hundred forty".