1687465422720 has 1024 divisors, whose sum is σ = 7592050944000. Its totient is φ = 344011898880.

The previous prime is 1687465422707. The next prime is 1687465422733. The reversal of 1687465422720 is 272245647861.

1687465422720 is a `hidden beast` number, since 1 + 6 + 8 + 74 + 6 + 542 + 2 + 7 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (1687465422707) and next prime (1687465422733).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 70507716 + ... + 70531644.

It is an arithmetic number, because the mean of its divisors is an integer number (7414112250).

Almost surely, 2^{1687465422720} is an apocalyptic number.

1687465422720 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 1687465422720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3796025472000).

1687465422720 is an abundant number, since it is smaller than the sum of its proper divisors (5904585521280).

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

1687465422720 is a wasteful number, since it uses less digits than its factorization.

1687465422720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24028 (or 24010 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 1687465422720 in words is "one trillion, six hundred eighty-seven billion, four hundred sixty-five million, four hundred twenty-two thousand, seven hundred twenty".