1904408923680 has 672 divisors, whose sum is σ = 6844091018688. Its totient is φ = 500488243200.

The previous prime is 1904408923667. The next prime is 1904408923691. The reversal of 1904408923680 is 863298044091.

1904408923680 is a `hidden beast` number, since 1 + 9 + 0 + 440 + 8 + 92 + 36 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4131038650 + ... + 4131039110.

It is an arithmetic number, because the mean of its divisors is an integer number (10184659254).

Almost surely, 2^{1904408923680} is an apocalyptic number.

1904408923680 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 1904408923680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3422045509344).

1904408923680 is an abundant number, since it is smaller than the sum of its proper divisors (4939682095008).

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

1904408923680 is a wasteful number, since it uses less digits than its factorization.

1904408923680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 1904408923680 in words is "one trillion, nine hundred four billion, four hundred eight million, nine hundred twenty-three thousand, six hundred eighty".