6998261760 has 544 divisors, whose sum is σ = 28688820480. Its totient is φ = 1585446912.

The previous prime is 6998261737. The next prime is 6998261801. The reversal of 6998261760 is 671628996.

It is a super-2 number, since 2×6998261760² = 97951335322956595200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 6998261697 and 6998261706.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61931464 + ... + 61931576.

Almost surely, 2^6998261760 is an apocalyptic number.

6998261760 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 6998261760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14344410240).

6998261760 is an abundant number, since it is smaller than the sum of its proper divisors (21690558720).

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

6998261760 is an equidigital number, since it uses as much as digits as its factorization.

6998261760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 130 counting only the distinct ones).

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

The square root of 6998261760 is about 83655.6140375528. The cubic root of 6998261760 is about 1912.7728299738.

The spelling of 6998261760 in words is "six billion, nine hundred ninety-eight million, two hundred sixty-one thousand, seven hundred sixty".