5477649408 has 704 divisors, whose sum is σ = 21128970240. Its totient is φ = 1360281600.

The previous prime is 5477649383. The next prime is 5477649409. The reversal of 5477649408 is 8049467745.

5477649408 is a `hidden beast` number, since 547 + 7 + 6 + 4 + 94 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

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

It is not an unprimeable number, because it can be changed into a prime (5477649409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65995735 + ... + 65995817.

Almost surely, 2^5477649408 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 5477649408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10564485120).

5477649408 is an abundant number, since it is smaller than the sum of its proper divisors (15651320832).

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

5477649408 is a wasteful number, since it uses less digits than its factorization.

5477649408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The square root of 5477649408 is about 74011.1438095642. The cubic root of 5477649408 is about 1762.7798494518.

The spelling of 5477649408 in words is "five billion, four hundred seventy-seven million, six hundred forty-nine thousand, four hundred eight".