5527678464 has 480 divisors, whose sum is σ = 20662177536. Its totient is φ = 1433272320.

The previous prime is 5527678459. The next prime is 5527678477. The reversal of 5527678464 is 4648767255.

It is a happy number.

5527678464 is a `hidden beast` number, since 5 + 527 + 6 + 78 + 46 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (11289600) is a multiple of the sum of its prime divisors (600).

It is a self number, because there is not a number n which added to its sum of digits gives 5527678464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9579744 + ... + 9580320.

Almost surely, 2^5527678464 is an apocalyptic number.

5527678464 is a gapful number since it is divisible by the number (54) 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 5527678464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10331088768).

5527678464 is an abundant number, since it is smaller than the sum of its proper divisors (15134499072).

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

5527678464 is an equidigital number, since it uses as much as digits as its factorization.

5527678464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 600 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 54.

The square root of 5527678464 is about 74348.3588520957. The cubic root of 5527678464 is about 1768.1302634651.

The spelling of 5527678464 in words is "five billion, five hundred twenty-seven million, six hundred seventy-eight thousand, four hundred sixty-four".