5632478078976 has 864 divisors, whose sum is σ = 19253964529800. Its totient is φ = 1581483294720.

The previous prime is 5632478078947. The next prime is 5632478078989. The reversal of 5632478078976 is 6798708742365.

5632478078976 is a `hidden beast` number, since 5 + 6 + 3 + 2 + 478 + 0 + 7 + 89 + 76 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5052784665600 + 579693413376 = 2247840^2 + 761376^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23371278216 + ... + 23371278456.

Almost surely, 2^{5632478078976} is an apocalyptic number.

5632478078976 is a gapful number since it is divisible by the number (56) 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 5632478078976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9626982264900).

5632478078976 is an abundant number, since it is smaller than the sum of its proper divisors (13621486450824).

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

5632478078976 is a wasteful number, since it uses less digits than its factorization.

5632478078976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 853493760, while the sum is 72.

The spelling of 5632478078976 in words is "five trillion, six hundred thirty-two billion, four hundred seventy-eight million, seventy-eight thousand, nine hundred seventy-six".