5429649456 has 640 divisors, whose sum is σ = 20912947200. Its totient is φ = 1317254400.

The previous prime is 5429649443. The next prime is 5429649469. The reversal of 5429649456 is 6549469245.

5429649456 is a `hidden beast` number, since 542 + 9 + 6 + 4 + 94 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (5429649443) and next prime (5429649469).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 76473901 + ... + 76473971.

It is an arithmetic number, because the mean of its divisors is an integer number (32676480).

Almost surely, 2^5429649456 is an apocalyptic number.

5429649456 is a gapful number since it is divisible by the number (56) 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 5429649456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10456473600).

5429649456 is an abundant number, since it is smaller than the sum of its proper divisors (15483297744).

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

5429649456 is a wasteful number, since it uses less digits than its factorization.

5429649456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 113 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The square root of 5429649456 is about 73686.1551174982. The cubic root of 5429649456 is about 1757.6157298235.

The spelling of 5429649456 in words is "five billion, four hundred twenty-nine million, six hundred forty-nine thousand, four hundred fifty-six".