7978476352 has 448 divisors, whose sum is σ = 22238208000. Its totient is φ = 2804336640.

The previous prime is 7978476349. The next prime is 7978476403. The reversal of 7978476352 is 2536748797.

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

Its product of digits (17781120) is a multiple of the sum of its prime factors (147).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 169754793 + ... + 169754839.

Almost surely, 2^7978476352 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 7978476352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11119104000).

7978476352 is an abundant number, since it is smaller than the sum of its proper divisors (14259731648).

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

7978476352 is a wasteful number, since it uses less digits than its factorization.

7978476352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 123 counting only the distinct ones).

The product of its digits is 17781120, while the sum is 58.

The square root of 7978476352 is about 89322.3172113218. The cubic root of 7978476352 is about 1998.2047516906.

The spelling of 7978476352 in words is "seven billion, nine hundred seventy-eight million, four hundred seventy-six thousand, three hundred fifty-two".