5587764000 has 1152 divisors, whose sum is σ = 24845812992. Its totient is φ = 1083801600.

The previous prime is 5587763989. The next prime is 5587764011. The reversal of 5587764000 is 4677855.

It is an interprime number because it is at equal distance from previous prime (5587763989) and next prime (5587764011).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 129947979 + ... + 129948021.

It is an arithmetic number, because the mean of its divisors is an integer number (21567546).

Almost surely, 2^5587764000 is an apocalyptic number.

5587764000 is a gapful number since it is divisible by the number (50) 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 5587764000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12422906496).

5587764000 is an abundant number, since it is smaller than the sum of its proper divisors (19258048992).

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

5587764000 is a wasteful number, since it uses less digits than its factorization.

5587764000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The square root of 5587764000 is about 74751.3478139358. The cubic root of 5587764000 is about 1774.5136801656.

The spelling of 5587764000 in words is "five billion, five hundred eighty-seven million, seven hundred sixty-four thousand".