1682638623540 has 672 divisors, whose sum is σ = 6246389022720. Its totient is φ = 372577459968.

The previous prime is 1682638623481. The next prime is 1682638623551. The reversal of 1682638623540 is 453268362861.

1682638623540 is a `hidden beast` number, since 1 + 6 + 8 + 2 + 6 + 3 + 8 + 623 + 5 + 4 + 0 = 666.

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 polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 557348151 + ... + 557351169.

It is an arithmetic number, because the mean of its divisors is an integer number (9295221760).

Almost surely, 2^{1682638623540} is an apocalyptic number.

1682638623540 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 1682638623540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3123194511360).

1682638623540 is an abundant number, since it is smaller than the sum of its proper divisors (4563750399180).

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

1682638623540 is a wasteful number, since it uses less digits than its factorization.

1682638623540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3223 (or 3206 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 1682638623540 in words is "one trillion, six hundred eighty-two billion, six hundred thirty-eight million, six hundred twenty-three thousand, five hundred forty".