1642677960 has 384 divisors, whose sum is σ = 6338217600. Its totient is φ = 336752640.

The previous prime is 1642677929. The next prime is 1642677991. The reversal of 1642677960 is 697762461.

It is an interprime number because it is at equal distance from previous prime (1642677929) and next prime (1642677991).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7050004 + ... + 7050236.

It is an arithmetic number, because the mean of its divisors is an integer number (16505775).

Almost surely, 2^1642677960 is an apocalyptic number.

1642677960 is a gapful number since it is divisible by the number (10) 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 1642677960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3169108800).

1642677960 is an abundant number, since it is smaller than the sum of its proper divisors (4695539640).

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

1642677960 is a wasteful number, since it uses less digits than its factorization.

1642677960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The square root of 1642677960 is about 40529.9637305537. The cubic root of 1642677960 is about 1179.9152385731.

The spelling of 1642677960 in words is "one billion, six hundred forty-two million, six hundred seventy-seven thousand, nine hundred sixty".