6978112629840 has 560 divisors, whose sum is σ = 28097416489536. Its totient is φ = 1592151552000.

The previous prime is 6978112629821. The next prime is 6978112629863. The reversal of 6978112629840 is 489262118796.

It is a super-4 number, since 4×6978112629840⁴ (a number of 52 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 10585915 + ... + 11225765.

Almost surely, 2^{6978112629840} is an apocalyptic number.

6978112629840 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 6978112629840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14048708244768).

6978112629840 is an abundant number, since it is smaller than the sum of its proper divisors (21119303859696).

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

6978112629840 is a wasteful number, since it uses less digits than its factorization.

6978112629840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639910 (or 639889 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

It can be divided in two parts, 69781 and 12629840, that added together give a palindrome (12699621).

The spelling of 6978112629840 in words is "six trillion, nine hundred seventy-eight billion, one hundred twelve million, six hundred twenty-nine thousand, eight hundred forty".