7972836480 has 640 divisors, whose sum is σ = 32985722880. Its totient is φ = 1797562368.

The previous prime is 7972836427. The next prime is 7972836497. The reversal of 7972836480 is 846382797.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×7972836480² (a number of 21 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 46085674 + ... + 46085846.

It is an arithmetic number, because the mean of its divisors is an integer number (51540192).

Almost surely, 2^7972836480 is an apocalyptic number.

7972836480 is a gapful number since it is divisible by the number (70) 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 7972836480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16492861440).

7972836480 is an abundant number, since it is smaller than the sum of its proper divisors (25012886400).

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

7972836480 is a wasteful number, since it uses less digits than its factorization.

7972836480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 7972836480 is about 89290.7412893409. The cubic root of 7972836480 is about 1997.7338064867.

The spelling of 7972836480 in words is "seven billion, nine hundred seventy-two million, eight hundred thirty-six thousand, four hundred eighty".