1601670788640 has 960 divisors, whose sum is σ = 6426884217600. Its totient is φ = 372394008576.

The previous prime is 1601670788639. The next prime is 1601670788647. The reversal of 1601670788640 is 468870761061.

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

It is not an unprimeable number, because it can be changed into a prime (1601670788647) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1629369589 + ... + 1629370571.

It is an arithmetic number, because the mean of its divisors is an integer number (6694671060).

Almost surely, 2^{1601670788640} is an apocalyptic number.

1601670788640 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 1601670788640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3213442108800).

1601670788640 is an abundant number, since it is smaller than the sum of its proper divisors (4825213428960).

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

1601670788640 is a wasteful number, since it uses less digits than its factorization.

1601670788640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1551 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 1601670788640 in words is "one trillion, six hundred one billion, six hundred seventy million, seven hundred eighty-eight thousand, six hundred forty".