7000965972 has 384 divisors, whose sum is σ = 25168281600. Its totient is φ = 1623628800.

The previous prime is 7000965953. The next prime is 7000965973. The reversal of 7000965972 is 2795690007.

It is a super-2 number, since 2×7000965972² = 98027049082203809568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7000965973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3350304 + ... + 3352392.

It is an arithmetic number, because the mean of its divisors is an integer number (65542400).

Almost surely, 2^7000965972 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 7000965972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12584140800).

7000965972 is an abundant number, since it is smaller than the sum of its proper divisors (18167315628).

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

7000965972 is a wasteful number, since it uses less digits than its factorization.

7000965972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164 (or 2156 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 7000965972 is about 83671.7752411170. The cubic root of 7000965972 is about 1913.0191710090.

It can be divided in two parts, 70009 and 65972, that added together give a triangular number (135981 = T₅₂₁).

The spelling of 7000965972 in words is "seven billion, nine hundred sixty-five thousand, nine hundred seventy-two".