1639672693120 has 512 divisors, whose sum is σ = 5075721584640. Its totient is φ = 491542732800.

The previous prime is 1639672693117. The next prime is 1639672693133. The reversal of 1639672693120 is 213962769361.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 255119347 + ... + 255125773.

It is an arithmetic number, because the mean of its divisors is an integer number (9913518720).

Almost surely, 2^{1639672693120} is an apocalyptic number.

1639672693120 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 1639672693120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2537860792320).

1639672693120 is an abundant number, since it is smaller than the sum of its proper divisors (3436048891520).

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

1639672693120 is a wasteful number, since it uses less digits than its factorization.

1639672693120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6662 (or 6650 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 55.

The spelling of 1639672693120 in words is "one trillion, six hundred thirty-nine billion, six hundred seventy-two million, six hundred ninety-three thousand, one hundred twenty".