1675380672 has 280 divisors, whose sum is σ = 5734226784. Its totient is φ = 473776128.

The previous prime is 1675380653. The next prime is 1675380703. The reversal of 1675380672 is 2760835761.

It is a super-2 number, since 2×1675380672² = 5613800792222343168, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4971288 + ... + 4971624.

Almost surely, 2^1675380672 is an apocalyptic number.

1675380672 is a gapful number since it is divisible by the number (12) 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 1675380672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2867113392).

1675380672 is an abundant number, since it is smaller than the sum of its proper divisors (4058846112).

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

1675380672 is a wasteful number, since it uses less digits than its factorization.

1675380672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 1675380672 is about 40931.4142438299. The cubic root of 1675380672 is about 1187.6938298858.

The spelling of 1675380672 in words is "one billion, six hundred seventy-five million, three hundred eighty thousand, six hundred seventy-two".