1553791680 has 448 divisors, whose sum is σ = 6542714880. Its totient is φ = 339406848.

The previous prime is 1553791649. The next prime is 1553791693. The reversal of 1553791680 is 861973551.

It is a happy number.

1553791680 is a `hidden beast` number, since 1 + 553 + 7 + 9 + 16 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1390482 + ... + 1391598.

Almost surely, 2^1553791680 is an apocalyptic number.

1553791680 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 1553791680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3271357440).

1553791680 is an abundant number, since it is smaller than the sum of its proper divisors (4988923200).

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

1553791680 is a wasteful number, since it uses less digits than its factorization.

1553791680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 1553791680 is about 39418.1643408214. The cubic root of 1553791680 is about 1158.2374341990.

The spelling of 1553791680 in words is "one billion, five hundred fifty-three million, seven hundred ninety-one thousand, six hundred eighty".