1604563266400 has 144 divisors (see below), whose sum is σ = 4028599746864. Its totient is φ = 623714273280.

The previous prime is 1604563266349. The next prime is 1604563266409. The reversal of 1604563266400 is 46623654061.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1604563266409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6658414 + ... + 6895186.

It is an arithmetic number, because the mean of its divisors is an integer number (27976387131).

Almost surely, 2^{1604563266400} is an apocalyptic number.

1604563266400 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 1604563266400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2014299873432).

1604563266400 is an abundant number, since it is smaller than the sum of its proper divisors (2424036480464).

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

1604563266400 is a wasteful number, since it uses less digits than its factorization.

1604563266400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237033 (or 237020 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 43.

The spelling of 1604563266400 in words is "one trillion, six hundred four billion, five hundred sixty-three million, two hundred sixty-six thousand, four hundred".