8354970624 has 792 divisors, whose sum is σ = 31886037120. Its totient is φ = 1897758720.

The previous prime is 8354970607. The next prime is 8354970647. The reversal of 8354970624 is 4260794538.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 439735287 + ... + 439735305.

Almost surely, 2^8354970624 is an apocalyptic number.

8354970624 is a gapful number since it is divisible by the number (84) 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 8354970624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15943018560).

8354970624 is an abundant number, since it is smaller than the sum of its proper divisors (23531066496).

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

8354970624 is a wasteful number, since it uses less digits than its factorization.

8354970624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The square root of 8354970624 is about 91405.5284104851. The cubic root of 8354970624 is about 2029.1538470010.

The spelling of 8354970624 in words is "eight billion, three hundred fifty-four million, nine hundred seventy thousand, six hundred twenty-four".