1604928877680 has 480 divisors, whose sum is σ = 5533013864448. Its totient is φ = 384285081600.

The previous prime is 1604928877633. The next prime is 1604928877733. The reversal of 1604928877680 is 867788294061.

It is a happy number.

It is a super-2 number, since 2×1604928877680² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 152656104 + ... + 152666616.

Almost surely, 2^{1604928877680} is an apocalyptic number.

1604928877680 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 1604928877680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2766506932224).

1604928877680 is an abundant number, since it is smaller than the sum of its proper divisors (3928084986768).

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

1604928877680 is a wasteful number, since it uses less digits than its factorization.

1604928877680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10665 (or 10642 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 66.

The spelling of 1604928877680 in words is "one trillion, six hundred four billion, nine hundred twenty-eight million, eight hundred seventy-seven thousand, six hundred eighty".