8782662470400 has 2592 divisors, whose sum is σ = 40934973952320. Its totient is φ = 1825988935680.

The previous prime is 8782662470389. The next prime is 8782662470419. The reversal of 8782662470400 is 40742662878.

It is a happy number.

8782662470400 is a `hidden beast` number, since 8 + 7 + 8 + 2 + 6 + 624 + 7 + 0 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8035372254 + ... + 8035373346.

Almost surely, 2^{8782662470400} is an apocalyptic number.

8782662470400 is a gapful number since it is divisible by the number (80) 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 8782662470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20467486976160).

8782662470400 is an abundant number, since it is smaller than the sum of its proper divisors (32152311481920).

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

8782662470400 is a wasteful number, since it uses less digits than its factorization.

8782662470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 8782662470400 in words is "eight trillion, seven hundred eighty-two billion, six hundred sixty-two million, four hundred seventy thousand, four hundred".