7884620352 has 560 divisors, whose sum is σ = 28387397632. Its totient is φ = 2116316160.

The previous prime is 7884620351. The next prime is 7884620377. The reversal of 7884620352 is 2530264887.

It is a junction number, because it is equal to n+sod(n) for n = 7884620298 and 7884620307.

It is not an unprimeable number, because it can be changed into a prime (7884620351) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 48371823 + ... + 48371985.

Almost surely, 2^7884620352 is an apocalyptic number.

7884620352 is a gapful number since it is divisible by the number (72) 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 7884620352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14193698816).

7884620352 is an abundant number, since it is smaller than the sum of its proper divisors (20502777280).

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

7884620352 is a wasteful number, since it uses less digits than its factorization.

7884620352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 7884620352 is about 88795.3847449292. The cubic root of 7884620352 is about 1990.3384315364.

The spelling of 7884620352 in words is "seven billion, eight hundred eighty-four million, six hundred twenty thousand, three hundred fifty-two".