1658479680 has 336 divisors, whose sum is σ = 6703429824. Its totient is φ = 371036160.

The previous prime is 1658479679. The next prime is 1658479717. The reversal of 1658479680 is 869748561.

1658479680 is a `hidden beast` number, since 165 + 8 + 479 + 6 + 8 + 0 = 666.

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, 409827 + ... + 413853.

It is an arithmetic number, because the mean of its divisors is an integer number (19950684).

Almost surely, 2^1658479680 is an apocalyptic number.

1658479680 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 1658479680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3351714912).

1658479680 is an abundant number, since it is smaller than the sum of its proper divisors (5044950144).

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

1658479680 is a wasteful number, since it uses less digits than its factorization.

1658479680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4074 (or 4061 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 1658479680 is about 40724.4359076955. The cubic root of 1658479680 is about 1183.6865648294.

The spelling of 1658479680 in words is "one billion, six hundred fifty-eight million, four hundred seventy-nine thousand, six hundred eighty".