7087046400000 has 3024 divisors, whose sum is σ = 31888283394240. Its totient is φ = 1567641600000.

The previous prime is 7087046399911. The next prime is 7087046400013. The reversal of 7087046400000 is 46407807.

It is a happy number.

7087046400000 is a `hidden beast` number, since 7 + 0 + 8 + 7 + 0 + 4 + 640 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 228614399985 + ... + 228614400015.

It is an arithmetic number, because the mean of its divisors is an integer number (10545067260).

Almost surely, 2^{7087046400000} is an apocalyptic number.

7087046400000 is a gapful number since it is divisible by the number (70) 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 7087046400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15944141697120).

7087046400000 is an abundant number, since it is smaller than the sum of its proper divisors (24801236994240).

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

7087046400000 is an frugal number, since it uses more digits than its factorization.

7087046400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 7087046400000 in words is "seven trillion, eighty-seven billion, forty-six million, four hundred thousand".