4162657680 has 480 divisors, whose sum is σ = 15320448000. Its totient is φ = 1010257920.

The previous prime is 4162657663. The next prime is 4162657687. The reversal of 4162657680 is 867562614.

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

It is not an unprimeable number, because it can be changed into a prime (4162657687) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38189466 + ... + 38189574.

It is an arithmetic number, because the mean of its divisors is an integer number (31917600).

Almost surely, 2^4162657680 is an apocalyptic number.

4162657680 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 4162657680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7660224000).

4162657680 is an abundant number, since it is smaller than the sum of its proper divisors (11157790320).

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

4162657680 is a wasteful number, since it uses less digits than its factorization.

4162657680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 4162657680 is about 64518.6614864258. The cubic root of 4162657680 is about 1608.6327241935.

The spelling of 4162657680 in words is "four billion, one hundred sixty-two million, six hundred fifty-seven thousand, six hundred eighty".