1607670335040 has 896 divisors, whose sum is σ = 6719216025600. Its totient is φ = 315515658240.

The previous prime is 1607670334967. The next prime is 1607670335053. The reversal of 1607670335040 is 405330767061.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1607670334983 and 1607670335001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 515442601 + ... + 515445719.

Almost surely, 2^{1607670335040} is an apocalyptic number.

1607670335040 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 1607670335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3359608012800).

1607670335040 is an abundant number, since it is smaller than the sum of its proper divisors (5111545690560).

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

1607670335040 is a wasteful number, since it uses less digits than its factorization.

1607670335040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3543 (or 3533 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 42.

The spelling of 1607670335040 in words is "one trillion, six hundred seven billion, six hundred seventy million, three hundred thirty-five thousand, forty".