5476638194496 has 560 divisors, whose sum is σ = 18760047368832. Its totient is φ = 1547403264000.

The previous prime is 5476638194473. The next prime is 5476638194497. The reversal of 5476638194496 is 6944918366745.

5476638194496 is a `hidden beast` number, since 5 + 4 + 76 + 6 + 381 + 94 + 4 + 96 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5476638194497) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3420760096 + ... + 3420761696.

Almost surely, 2^{5476638194496} is an apocalyptic number.

5476638194496 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 5476638194496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9380023684416).

5476638194496 is an abundant number, since it is smaller than the sum of its proper divisors (13283409174336).

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

5476638194496 is a wasteful number, since it uses less digits than its factorization.

5476638194496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2620 (or 2601 counting only the distinct ones).

The product of its digits is 940584960, while the sum is 72.

The spelling of 5476638194496 in words is "five trillion, four hundred seventy-six billion, six hundred thirty-eight million, one hundred ninety-four thousand, four hundred ninety-six".