7007357952 has 396 divisors, whose sum is σ = 24173432400. Its totient is φ = 1988665344.

The previous prime is 7007357923. The next prime is 7007357963. The reversal of 7007357952 is 2597537007.

It is a happy number.

7007357952 is a `hidden beast` number, since 7 + 0 + 0 + 73 + 579 + 5 + 2 = 666.

It is a super-4 number, since 4×7007357952⁴ (a number of 40 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7007357898 and 7007357907.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 47029174 + ... + 47029322.

Almost surely, 2^7007357952 is an apocalyptic number.

7007357952 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 7007357952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12086716200).

7007357952 is an abundant number, since it is smaller than the sum of its proper divisors (17166074448).

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

7007357952 is an frugal number, since it uses more digits than its factorization.

7007357952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 463050, while the sum is 45.

The square root of 7007357952 is about 83709.9632779755. The cubic root of 7007357952 is about 1913.6011983453.

The spelling of 7007357952 in words is "seven billion, seven million, three hundred fifty-seven thousand, nine hundred fifty-two".