4087659065616 has 675 divisors, whose sum is σ = 14083633645653. Its totient is φ = 1141263406080.

The previous prime is 4087659065597. The next prime is 4087659065627. The reversal of 4087659065616 is 6165609567804.

The square root of 4087659065616 is 2021796.

It is a perfect power (a square), and thus also a powerful number.

4087659065616 is a `hidden beast` number, since 4 + 0 + 8 + 7 + 6 + 5 + 9 + 0 + 6 + 5 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 72027824400 + 4015631241216 = 268380^2 + 2003904^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 36173973976 + ... + 36173974088.

Almost surely, 2^{4087659065616} is an apocalyptic number.

4087659065616 is the 2021796-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4087659065616

4087659065616 is an abundant number, since it is smaller than the sum of its proper divisors (9995974580037).

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

4087659065616 is an equidigital number, since it uses as much as digits as its factorization.

4087659065616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 4087659065616 in words is "four trillion, eighty-seven billion, six hundred fifty-nine million, sixty-five thousand, six hundred sixteen".