1645716480 has 176 divisors, whose sum is σ = 5295998400. Its totient is φ = 436174848.

The previous prime is 1645716469. The next prime is 1645716491. The reversal of 1645716480 is 846175461.

It is an interprime number because it is at equal distance from previous prime (1645716469) and next prime (1645716491).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4715346 + ... + 4715694.

It is an arithmetic number, because the mean of its divisors is an integer number (30090900).

Almost surely, 2^1645716480 is an apocalyptic number.

1645716480 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 1645716480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2647999200).

1645716480 is an abundant number, since it is smaller than the sum of its proper divisors (3650281920).

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

1645716480 is a wasteful number, since it uses less digits than its factorization.

1645716480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 1645716480 is about 40567.4312718959. The cubic root of 1645716480 is about 1180.6423008969.

The spelling of 1645716480 in words is "one billion, six hundred forty-five million, seven hundred sixteen thousand, four hundred eighty".