4168580640 has 384 divisors, whose sum is σ = 15676416000. Its totient is φ = 910995456.

The previous prime is 4168580627. The next prime is 4168580653. The reversal of 4168580640 is 460858614.

It is an interprime number because it is at equal distance from previous prime (4168580627) and next prime (4168580653).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4168580592 and 4168580601.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17441641 + ... + 17441879.

It is an arithmetic number, because the mean of its divisors is an integer number (40824000).

Almost surely, 2^4168580640 is an apocalyptic number.

4168580640 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 4168580640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7838208000).

4168580640 is an abundant number, since it is smaller than the sum of its proper divisors (11507835360).

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

4168580640 is a wasteful number, since it uses less digits than its factorization.

4168580640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 4168580640 is about 64564.5463083262. The cubic root of 4168580640 is about 1609.3953260838.

The spelling of 4168580640 in words is "four billion, one hundred sixty-eight million, five hundred eighty thousand, six hundred forty".