6930180993024 has 832 divisors, whose sum is σ = 22867279948800. Its totient is φ = 2062892924928.

The previous prime is 6930180993019. The next prime is 6930180993031. The reversal of 6930180993024 is 4203990810396.

It is a super-2 number, since 2×6930180993024² (a number of 26 digits) contains 22 as substring.

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

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, 6010564032 + ... + 6010565184.

Almost surely, 2^{6930180993024} is an apocalyptic number.

6930180993024 is a gapful number since it is divisible by the number (64) 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 6930180993024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11433639974400).

6930180993024 is an abundant number, since it is smaller than the sum of its proper divisors (15937098955776).

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

6930180993024 is a wasteful number, since it uses less digits than its factorization.

6930180993024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 6930180993024 in words is "six trillion, nine hundred thirty billion, one hundred eighty million, nine hundred ninety-three thousand, twenty-four".