8262652006400 has 312 divisors, whose sum is σ = 22368018709344. Its totient is φ = 3002381107200.

The previous prime is 8262652006337. The next prime is 8262652006409. The reversal of 8262652006400 is 46002562628.

It is not an unprimeable number, because it can be changed into a prime (8262652006409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2947787399 + ... + 2947790201.

Almost surely, 2^{8262652006400} is an apocalyptic number.

8262652006400 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 8262652006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11184009354672).

8262652006400 is an abundant number, since it is smaller than the sum of its proper divisors (14105366702944).

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

8262652006400 is a wasteful number, since it uses less digits than its factorization.

8262652006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5465 (or 5438 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 41.

The spelling of 8262652006400 in words is "eight trillion, two hundred sixty-two billion, six hundred fifty-two million, six thousand, four hundred".