1675507680 has 960 divisors, whose sum is σ = 7798146048. Its totient is φ = 328458240.

The previous prime is 1675507663. The next prime is 1675507697. The reversal of 1675507680 is 867055761.

1675507680 is a `hidden beast` number, since 1 + 67 + 5 + 507 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (1675507663) and next prime (1675507697).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 22952124 + ... + 22952196.

Almost surely, 2^1675507680 is an apocalyptic number.

1675507680 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 1675507680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3899073024).

1675507680 is an abundant number, since it is smaller than the sum of its proper divisors (6122638368).

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

1675507680 is a wasteful number, since it uses less digits than its factorization.

1675507680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 1675507680 is about 40932.9656878170. The cubic root of 1675507680 is about 1187.7238415340.

The spelling of 1675507680 in words is "one billion, six hundred seventy-five million, five hundred seven thousand, six hundred eighty".