1604176551936 has 896 divisors, whose sum is σ = 5615536688640. Its totient is φ = 443132411904.

The previous prime is 1604176551893. The next prime is 1604176551949. The reversal of 1604176551936 is 6391556714061.

1604176551936 is a `hidden beast` number, since 1 + 60 + 4 + 1 + 7 + 65 + 519 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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 63 ways as a sum of consecutive naturals, for example, 9272696746 + ... + 9272696918.

Almost surely, 2^{1604176551936} is an apocalyptic number.

1604176551936 is a gapful number since it is divisible by the number (16) 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 1604176551936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2807768344320).

1604176551936 is an abundant number, since it is smaller than the sum of its proper divisors (4011360136704).

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

1604176551936 is a wasteful number, since it uses less digits than its factorization.

1604176551936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 1604176551936 in words is "one trillion, six hundred four billion, one hundred seventy-six million, five hundred fifty-one thousand, nine hundred thirty-six".