1607688689040 has 640 divisors, whose sum is σ = 6803564544000. Its totient is φ = 340721178624.

The previous prime is 1607688689039. The next prime is 1607688689053. The reversal of 1607688689040 is 409868867061.

It is a super-2 number, since 2×1607688689040² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13442626 + ... + 13561694.

It is an arithmetic number, because the mean of its divisors is an integer number (10630569600).

Almost surely, 2^{1607688689040} is an apocalyptic number.

1607688689040 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 1607688689040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3401782272000).

1607688689040 is an abundant number, since it is smaller than the sum of its proper divisors (5195875854960).

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

1607688689040 is a wasteful number, since it uses less digits than its factorization.

1607688689040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119164 (or 119152 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 1607688689040 in words is "one trillion, six hundred seven billion, six hundred eighty-eight million, six hundred eighty-nine thousand, forty".