7478849664 has 512 divisors, whose sum is σ = 26697888000. Its totient is φ = 2030469120.

The previous prime is 7478849639. The next prime is 7478849669. The reversal of 7478849664 is 4669488747.

7478849664 is a `hidden beast` number, since 7 + 4 + 7 + 88 + 496 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (7478849669) 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, 18285492 + ... + 18285900.

Almost surely, 2^7478849664 is an apocalyptic number.

7478849664 is a gapful number since it is divisible by the number (74) 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 7478849664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13348944000).

7478849664 is an abundant number, since it is smaller than the sum of its proper divisors (19219038336).

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

7478849664 is a wasteful number, since it uses less digits than its factorization.

7478849664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 475 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 63.

The square root of 7478849664 is about 86480.3426450196. The cubic root of 7478849664 is about 1955.5920712037.

The spelling of 7478849664 in words is "seven billion, four hundred seventy-eight million, eight hundred forty-nine thousand, six hundred sixty-four".