7937969312448 has 448 divisors, whose sum is σ = 27839661465600. Its totient is φ = 2170160087040.

The previous prime is 7937969312419. The next prime is 7937969312509. The reversal of 7937969312448 is 8442139697397.

It is a happy number.

7937969312448 is a `hidden beast` number, since 7 + 9 + 3 + 7 + 96 + 93 + 1 + 2 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×7937969312448² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33253936 + ... + 33491792.

Almost surely, 2^{7937969312448} 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 7937969312448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13919830732800).

7937969312448 is an abundant number, since it is smaller than the sum of its proper divisors (19901692153152).

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

7937969312448 is a wasteful number, since it uses less digits than its factorization.

7937969312448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238005 (or 237989 counting only the distinct ones).

The product of its digits is 493807104, while the sum is 72.

The spelling of 7937969312448 in words is "seven trillion, nine hundred thirty-seven billion, nine hundred sixty-nine million, three hundred twelve thousand, four hundred forty-eight".