6987409920 has 400 divisors, whose sum is σ = 25857773568. Its totient is φ = 1801543680.

The previous prime is 6987409907. The next prime is 6987409931. The reversal of 6987409920 is 299047896.

It is a super-2 number, since 2×6987409920² = 97647794780228812800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6427617 + ... + 6428703.

Almost surely, 2^6987409920 is an apocalyptic number.

6987409920 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 6987409920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12928886784).

6987409920 is an abundant number, since it is smaller than the sum of its proper divisors (18870363648).

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

6987409920 is a wasteful number, since it uses less digits than its factorization.

6987409920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 6987409920 is about 83590.7286725029. The cubic root of 6987409920 is about 1911.7836394358.

The spelling of 6987409920 in words is "six billion, nine hundred eighty-seven million, four hundred nine thousand, nine hundred twenty".