6987047504400 has 960 divisors, whose sum is σ = 25802438538240. Its totient is φ = 1794775449600.

The previous prime is 6987047504389. The next prime is 6987047504401. The reversal of 6987047504400 is 44057407896.

6987047504400 is a `hidden beast` number, since 6 + 98 + 7 + 0 + 4 + 7 + 504 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6987047504401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10381942464 + ... + 10381943136.

It is an arithmetic number, because the mean of its divisors is an integer number (26877540144).

Almost surely, 2^{6987047504400} is an apocalyptic number.

6987047504400 is a gapful number since it is divisible by the number (60) 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 6987047504400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12901219269120).

6987047504400 is an abundant number, since it is smaller than the sum of its proper divisors (18815391033840).

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

6987047504400 is a wasteful number, since it uses less digits than its factorization.

6987047504400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 6987047504400 in words is "six trillion, nine hundred eighty-seven billion, forty-seven million, five hundred four thousand, four hundred".