6972426240 has 576 divisors, whose sum is σ = 25898745600. Its totient is φ = 1594884096.

The previous prime is 6972426211. The next prime is 6972426259. The reversal of 6972426240 is 426242796.

It is a super-2 number, since 2×6972426240² = 97229455344481075200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6972426192 and 6972426201.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88258521 + ... + 88258599.

It is an arithmetic number, because the mean of its divisors is an integer number (44963100).

Almost surely, 2^6972426240 is an apocalyptic number.

6972426240 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 6972426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12949372800).

6972426240 is an abundant number, since it is smaller than the sum of its proper divisors (18926319360).

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

6972426240 is a wasteful number, since it uses less digits than its factorization.

6972426240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 6972426240 is about 83501.0553226724. The cubic root of 6972426240 is about 1910.4161296473.

The spelling of 6972426240 in words is "six billion, nine hundred seventy-two million, four hundred twenty-six thousand, two hundred forty".