7006987402272 has 576 divisors, whose sum is σ = 24297364675584. Its totient is φ = 1958331479040.

The previous prime is 7006987402267. The next prime is 7006987402277. The reversal of 7006987402272 is 2722047896007.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7006987402267) and next prime (7006987402277).

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

It is not an unprimeable number, because it can be changed into a prime (7006987402277) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1942606293 + ... + 1942609899.

It is an arithmetic number, because the mean of its divisors is an integer number (42182924784).

Almost surely, 2^{7006987402272} is an apocalyptic number.

7006987402272 is a gapful number since it is divisible by the number (72) 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 7006987402272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12148682337792).

7006987402272 is an abundant number, since it is smaller than the sum of its proper divisors (17290377273312).

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

7006987402272 is a wasteful number, since it uses less digits than its factorization.

7006987402272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5403 (or 5383 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 7006987402272 in words is "seven trillion, six billion, nine hundred eighty-seven million, four hundred two thousand, two hundred seventy-two".