4687440020640 has 288 divisors, whose sum is σ = 18239657553936. Its totient is φ = 1085958881280.

The previous prime is 4687440020639. The next prime is 4687440020717. The reversal of 4687440020640 is 460200447864.

4687440020640 is a `hidden beast` number, since 468 + 74 + 40 + 0 + 20 + 64 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 678587127696 + 4008852892944 = 823764^2 + 2002212^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7046391 + ... + 7682870.

Almost surely, 2^{4687440020640} is an apocalyptic number.

4687440020640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4687440020640 is an abundant number, since it is smaller than the sum of its proper divisors (13552217533296).

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

4687440020640 is a wasteful number, since it uses less digits than its factorization.

4687440020640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14729312 (or 14729301 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 4687440020640 in words is "four trillion, six hundred eighty-seven billion, four hundred forty million, twenty thousand, six hundred forty".