8087662400400 has 720 divisors, whose sum is σ = 30881256806400. Its totient is φ = 1943856921600.

The previous prime is 8087662400381. The next prime is 8087662400431. The reversal of 8087662400400 is 40042667808.

8087662400400 is a `hidden beast` number, since 80 + 8 + 76 + 62 + 40 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2419281129 + ... + 2419284471.

Almost surely, 2^{8087662400400} is an apocalyptic number.

8087662400400 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 8087662400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15440628403200).

8087662400400 is an abundant number, since it is smaller than the sum of its proper divisors (22793594406000).

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

8087662400400 is a wasteful number, since it uses less digits than its factorization.

8087662400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3884 (or 3870 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 8087662400400 in words is "eight trillion, eighty-seven billion, six hundred sixty-two million, four hundred thousand, four hundred".