6763561332000 has 1536 divisors, whose sum is σ = 26111641780224. Its totient is φ = 1513999872000.

The previous prime is 6763561331987. The next prime is 6763561332029. The reversal of 6763561332000 is 2331653676.

It is a super-2 number, since 2×6763561332000² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13446443749 + ... + 13446444251.

It is an arithmetic number, because the mean of its divisors is an integer number (16999766784).

Almost surely, 2^{6763561332000} is an apocalyptic number.

6763561332000 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 6763561332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13055820890112).

6763561332000 is an abundant number, since it is smaller than the sum of its proper divisors (19348080448224).

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

6763561332000 is a wasteful number, since it uses less digits than its factorization.

6763561332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 42.

Adding to 6763561332000 its reverse (2331653676), we get a palindrome (6765892985676).

The spelling of 6763561332000 in words is "six trillion, seven hundred sixty-three billion, five hundred sixty-one million, three hundred thirty-two thousand".