9521378496 has 448 divisors, whose sum is σ = 35668915200. Its totient is φ = 2424619008.

The previous prime is 9521378491. The next prime is 9521378507. The reversal of 9521378496 is 6948731259.

9521378496 is a `hidden beast` number, since 9 + 521 + 3 + 78 + 49 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 (9521378491) 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, 3905790 + ... + 3908226.

Almost surely, 2^9521378496 is an apocalyptic number.

9521378496 is a gapful number since it is divisible by the number (96) 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 9521378496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17834457600).

9521378496 is an abundant number, since it is smaller than the sum of its proper divisors (26147536704).

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

9521378496 is a wasteful number, since it uses less digits than its factorization.

9521378496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2501 (or 2485 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 9521378496 is about 97577.5511887852. The cubic root of 9521378496 is about 2119.4992955413.

The spelling of 9521378496 in words is "nine billion, five hundred twenty-one million, three hundred seventy-eight thousand, four hundred ninety-six".