5611504680 has 192 divisors, whose sum is σ = 19136632320. Its totient is φ = 1424217600.

The previous prime is 5611504651. The next prime is 5611504681. The reversal of 5611504680 is 864051165.

5611504680 is a `hidden beast` number, since 561 + 1 + 50 + 46 + 8 + 0 = 666.

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 (5611504681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 676639 + ... + 684881.

It is an arithmetic number, because the mean of its divisors is an integer number (99669960).

Almost surely, 2^5611504680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5611504680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9568316160).

5611504680 is an abundant number, since it is smaller than the sum of its proper divisors (13525127640).

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

5611504680 is a wasteful number, since it uses less digits than its factorization.

5611504680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8352 (or 8345 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 5611504680 is about 74909.9771726037. The cubic root of 5611504680 is about 1777.0232492105.

The spelling of 5611504680 in words is "five billion, six hundred eleven million, five hundred four thousand, six hundred eighty".