7952619936 has 96 divisors (see below), whose sum is σ = 22072296960. Its totient is φ = 2500160256.

The previous prime is 7952619929. The next prime is 7952619953. The reversal of 7952619936 is 6399162597.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (57).

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, 404445 + ... + 423651.

It is an arithmetic number, because the mean of its divisors is an integer number (229919760).

Almost surely, 2^7952619936 is an apocalyptic number.

7952619936 is a gapful number since it is divisible by the number (76) 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 7952619936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11036148480).

7952619936 is an abundant number, since it is smaller than the sum of its proper divisors (14119677024).

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

7952619936 is a wasteful number, since it uses less digits than its factorization.

7952619936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19466 (or 19458 counting only the distinct ones).

The product of its digits is 5511240, while the sum is 57.

The square root of 7952619936 is about 89177.4631619447. The cubic root of 7952619936 is about 1996.0438408958.

The spelling of 7952619936 in words is "seven billion, nine hundred fifty-two million, six hundred nineteen thousand, nine hundred thirty-six".