5435307696 has 320 divisors, whose sum is σ = 17943296000. Its totient is φ = 1387736064.

The previous prime is 5435307667. The next prime is 5435307737. The reversal of 5435307696 is 6967035345.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27313005 + ... + 27313203.

It is an arithmetic number, because the mean of its divisors is an integer number (56072800).

Almost surely, 2^5435307696 is an apocalyptic number.

5435307696 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 5435307696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8971648000).

5435307696 is an abundant number, since it is smaller than the sum of its proper divisors (12507988304).

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

5435307696 is a wasteful number, since it uses less digits than its factorization.

5435307696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 48.

The square root of 5435307696 is about 73724.5393068007. The cubic root of 5435307696 is about 1758.2260552316.

The spelling of 5435307696 in words is "five billion, four hundred thirty-five million, three hundred seven thousand, six hundred ninety-six".