1695641472 has 768 divisors, whose sum is σ = 6697728000. Its totient is φ = 418037760.

The previous prime is 1695641459. The next prime is 1695641477. The reversal of 1695641472 is 2741465961.

1695641472 is a `hidden beast` number, since 1 + 6 + 9 + 564 + 14 + 72 = 666.

It is a super-5 number, since 5×1695641472⁵ (a number of 47 digits) contains 55555 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1695641477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54698097 + ... + 54698127.

It is an arithmetic number, because the mean of its divisors is an integer number (8721000).

Almost surely, 2^1695641472 is an apocalyptic number.

1695641472 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 1695641472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3348864000).

1695641472 is an abundant number, since it is smaller than the sum of its proper divisors (5002086528).

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

1695641472 is a wasteful number, since it uses less digits than its factorization.

1695641472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 79 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 1695641472 is about 41178.1674191555. The cubic root of 1695641472 is about 1192.4623523576.

The spelling of 1695641472 in words is "one billion, six hundred ninety-five million, six hundred forty-one thousand, four hundred seventy-two".