5954479776 has 288 divisors, whose sum is σ = 20238865920. Its totient is φ = 1686894336.

The previous prime is 5954479759. The next prime is 5954479847. The reversal of 5954479776 is 6779744595.

5954479776 is a `hidden beast` number, since 5 + 95 + 4 + 479 + 7 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×5954479776³ (a number of 30 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7565655 + ... + 7566441.

It is an arithmetic number, because the mean of its divisors is an integer number (70273840).

Almost surely, 2^5954479776 is an apocalyptic number.

5954479776 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 5954479776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10119432960).

5954479776 is an abundant number, since it is smaller than the sum of its proper divisors (14284386144).

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

5954479776 is a wasteful number, since it uses less digits than its factorization.

5954479776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 938 counting only the distinct ones).

The product of its digits is 66679200, while the sum is 63.

The square root of 5954479776 is about 77165.2757138857. The cubic root of 5954479776 is about 1812.5136038044.

The spelling of 5954479776 in words is "five billion, nine hundred fifty-four million, four hundred seventy-nine thousand, seven hundred seventy-six".