1552711680 has 448 divisors, whose sum is σ = 6016899420. Its totient is φ = 382205952.

The previous prime is 1552711637. The next prime is 1552711681. The reversal of 1552711680 is 861172551.

1552711680 is a `hidden beast` number, since 15 + 527 + 116 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1445216256 + 107495424 = 38016^2 + 10368^2 .

It is a super-2 number, since 2×1552711680² = 4821827122416844800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1552711681) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 119439354 + ... + 119439366.

Almost surely, 2^1552711680 is an apocalyptic number.

1552711680 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 1552711680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3008449710).

1552711680 is an abundant number, since it is smaller than the sum of its proper divisors (4464187740).

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

1552711680 is an frugal number, since it uses more digits than its factorization.

1552711680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 36.

The square root of 1552711680 is about 39404.4626914262. The cubic root of 1552711680 is about 1157.9690184736.

The spelling of 1552711680 in words is "one billion, five hundred fifty-two million, seven hundred eleven thousand, six hundred eighty".