7638478848 has 1040 divisors, whose sum is σ = 31969276416. Its totient is φ = 1751777280.

The previous prime is 7638478807. The next prime is 7638478873. The reversal of 7638478848 is 8488748367.

It is a super-2 number, since 2×7638478848² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 332107765 + ... + 332107787.

Almost surely, 2^7638478848 is an apocalyptic number.

7638478848 is a gapful number since it is divisible by the number (78) 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 7638478848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15984638208).

7638478848 is an abundant number, since it is smaller than the sum of its proper divisors (24330797568).

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

7638478848 is a wasteful number, since it uses less digits than its factorization.

7638478848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 59 counting only the distinct ones).

The product of its digits is 57802752, while the sum is 63.

The square root of 7638478848 is about 87398.3915641472. The cubic root of 7638478848 is about 1969.4076781771.

The spelling of 7638478848 in words is "seven billion, six hundred thirty-eight million, four hundred seventy-eight thousand, eight hundred forty-eight".