4077646560 has 144 divisors (see below), whose sum is σ = 14985419904. Its totient is φ = 1003723776.

The previous prime is 4077646543. The next prime is 4077646577. The reversal of 4077646560 is 656467704.

It is a happy number.

4077646560 is a `hidden beast` number, since 40 + 7 + 7 + 6 + 46 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (4077646543) and next prime (4077646577).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90192 + ... + 127631.

It is an arithmetic number, because the mean of its divisors is an integer number (104065416).

Almost surely, 2^4077646560 is an apocalyptic number.

4077646560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4077646560 is an abundant number, since it is smaller than the sum of its proper divisors (10907773344).

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

4077646560 is a wasteful number, since it uses less digits than its factorization.

4077646560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217857 (or 217846 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 4077646560 is about 63856.4527671245. The cubic root of 4077646560 is about 1597.6066508767.

The spelling of 4077646560 in words is "four billion, seventy-seven million, six hundred forty-six thousand, five hundred sixty".