8014982400 has 270 divisors, whose sum is σ = 29636958582. Its totient is φ = 2137190400.

The previous prime is 8014982369. The next prime is 8014982407. The reversal of 8014982400 is 42894108.

It can be written as a sum of positive squares in 3 ways, for example, as 69755904 + 7945226496 = 8352^2 + 89136^2 .

It is a tau number, because it is divible by the number of its divisors (270).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8014982407) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 510670 + ... + 526130.

Almost surely, 2^8014982400 is an apocalyptic number.

8014982400 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 8014982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14818479291).

8014982400 is an abundant number, since it is smaller than the sum of its proper divisors (21621976182).

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

8014982400 is a wasteful number, since it uses less digits than its factorization.

8014982400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15499 (or 15471 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 8014982400 is about 89526.4340851349. The cubic root of 8014982400 is about 2001.2477547255.

The spelling of 8014982400 in words is "eight billion, fourteen million, nine hundred eighty-two thousand, four hundred".