6761631153504 has 384 divisors, whose sum is σ = 19256630722560. Its totient is φ = 2073367296000.

The previous prime is 6761631153499. The next prime is 6761631153517. The reversal of 6761631153504 is 4053511361676.

It is a super-2 number, since 2×6761631153504² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 762556879 + ... + 762565745.

It is an arithmetic number, because the mean of its divisors is an integer number (50147475840).

Almost surely, 2^{6761631153504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6761631153504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9628315361280).

6761631153504 is an abundant number, since it is smaller than the sum of its proper divisors (12494999569056).

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

6761631153504 is a wasteful number, since it uses less digits than its factorization.

6761631153504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9114 (or 9106 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 48.

The spelling of 6761631153504 in words is "six trillion, seven hundred sixty-one billion, six hundred thirty-one million, one hundred fifty-three thousand, five hundred four".