7132486400 has 216 divisors, whose sum is σ = 19347563760. Its totient is φ = 2587115520.

The previous prime is 7132486397. The next prime is 7132486409. The reversal of 7132486400 is 46842317.

It is not an unprimeable number, because it can be changed into a prime (7132486409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4908074 + ... + 4909526.

Almost surely, 2^7132486400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7132486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9673781880).

7132486400 is an abundant number, since it is smaller than the sum of its proper divisors (12215077360).

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

7132486400 is a wasteful number, since it uses less digits than its factorization.

7132486400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 7132486400 is about 84454.0490444360. The cubic root of 7132486400 is about 1924.9242810493.

The spelling of 7132486400 in words is "seven billion, one hundred thirty-two million, four hundred eighty-six thousand, four hundred".