7948644032 has 224 divisors, whose sum is σ = 19930116096. Its totient is φ = 3067084800.

The previous prime is 7948643957. The next prime is 7948644061. The reversal of 7948644032 is 2304468497.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 30928448 + ... + 30928704.

Almost surely, 2^7948644032 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 7948644032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9965058048).

7948644032 is an abundant number, since it is smaller than the sum of its proper divisors (11981472064).

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

7948644032 is a wasteful number, since it uses less digits than its factorization.

7948644032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 47.

The square root of 7948644032 is about 89155.1682854113. The cubic root of 7948644032 is about 1995.7111454375.

The spelling of 7948644032 in words is "seven billion, nine hundred forty-eight million, six hundred forty-four thousand, thirty-two".