7970353440 has 192 divisors, whose sum is σ = 30381329664. Its totient is φ = 1714618368.

The previous prime is 7970353387. The next prime is 7970353471. The reversal of 7970353440 is 443530797.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 7970353392 and 7970353401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12649 + ... + 126888.

It is an arithmetic number, because the mean of its divisors is an integer number (158236092).

Almost surely, 2^7970353440 is an apocalyptic number.

7970353440 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 7970353440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15190664832).

7970353440 is an abundant number, since it is smaller than the sum of its proper divisors (22410976224).

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

7970353440 is a wasteful number, since it uses less digits than its factorization.

7970353440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139579 (or 139571 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 42.

The square root of 7970353440 is about 89276.8359654395. The cubic root of 7970353440 is about 1997.5263952343.

The spelling of 7970353440 in words is "seven billion, nine hundred seventy million, three hundred fifty-three thousand, four hundred forty".