5626149408 has 384 divisors, whose sum is σ = 18779040000. Its totient is φ = 1623121920.

The previous prime is 5626149407. The next prime is 5626149409. The reversal of 5626149408 is 8049416265.

5626149408 is a `hidden beast` number, since 5 + 626 + 14 + 9 + 4 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (5626149407) and next prime (5626149409).

It is a super-2 number, since 2×5626149408² = 63307114322277500928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5626149407) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37759318 + ... + 37759466.

It is an arithmetic number, because the mean of its divisors is an integer number (48903750).

Almost surely, 2^5626149408 is an apocalyptic number.

5626149408 is a gapful number since it is divisible by the number (58) 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 5626149408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9389520000).

5626149408 is an abundant number, since it is smaller than the sum of its proper divisors (13152890592).

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

5626149408 is a wasteful number, since it uses less digits than its factorization.

5626149408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 5626149408 is about 75007.6623285915. The cubic root of 5626149408 is about 1778.5677794504.

The spelling of 5626149408 in words is "five billion, six hundred twenty-six million, one hundred forty-nine thousand, four hundred eight".