7952384000 has 240 divisors, whose sum is σ = 21714297696. Its totient is φ = 2883584000.

The previous prime is 7952383979. The next prime is 7952384029. The reversal of 7952384000 is 4832597.

It is a super-2 number, since 2×7952384000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22527824 + ... + 22528176.

Almost surely, 2^7952384000 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 7952384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10857148848).

7952384000 is an abundant number, since it is smaller than the sum of its proper divisors (13761913696).

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

7952384000 is an equidigital number, since it uses as much as digits as its factorization.

7952384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 7952384000 is about 89176.1403066986. The cubic root of 7952384000 is about 1996.0241013525.

The spelling of 7952384000 in words is "seven billion, nine hundred fifty-two million, three hundred eighty-four thousand".