4027760640 has 300 divisors, whose sum is σ = 14463615936. Its totient is φ = 1072300032.

The previous prime is 4027760603. The next prime is 4027760669. The reversal of 4027760640 is 460677204.

4027760640 is a `hidden beast` number, since 4 + 0 + 2 + 7 + 7 + 6 + 0 + 640 = 666.

It is a super-3 number, since 3×4027760640³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4027760595 and 4027760604.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6635217 + ... + 6635823.

Almost surely, 2^4027760640 is an apocalyptic number.

4027760640 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 4027760640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7231807968).

4027760640 is an abundant number, since it is smaller than the sum of its proper divisors (10435855296).

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

4027760640 is an frugal number, since it uses more digits than its factorization.

4027760640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 4027760640 is about 63464.6408640276. The cubic root of 4027760640 is about 1591.0648616148.

The spelling of 4027760640 in words is "four billion, twenty-seven million, seven hundred sixty thousand, six hundred forty".