1642582656 has 384 divisors, whose sum is σ = 5680584000. Its totient is φ = 451676160.

The previous prime is 1642582633. The next prime is 1642582673. The reversal of 1642582656 is 6562852461.

1642582656 is a `hidden beast` number, since 1 + 6 + 4 + 2 + 582 + 65 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27840355 + ... + 27840413.

Almost surely, 2^1642582656 is an apocalyptic number.

1642582656 is a gapful number since it is divisible by the number (16) 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 1642582656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2840292000).

1642582656 is an abundant number, since it is smaller than the sum of its proper divisors (4038001344).

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

1642582656 is a wasteful number, since it uses less digits than its factorization.

1642582656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 88 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 1642582656 is about 40528.7879907603. The cubic root of 1642582656 is about 1179.8924195707.

The spelling of 1642582656 in words is "one billion, six hundred forty-two million, five hundred eighty-two thousand, six hundred fifty-six".