7648399549476 has 405 divisors, whose sum is σ = 23815217150571. Its totient is φ = 2134182393504.

The previous prime is 7648399549457. The next prime is 7648399549517. The reversal of 7648399549476 is 6749459938467.

The square root of 7648399549476 is 2765574.

It is a perfect power (a square), and thus also a powerful number.

7648399549476 is a `hidden beast` number, since 7 + 6 + 4 + 8 + 3 + 99 + 54 + 9 + 476 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 7648399549395 and 7648399549404.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 16377728995 + ... + 16377729461.

Almost surely, 2^{7648399549476} is an apocalyptic number.

7648399549476 is the 2765574-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7648399549476

7648399549476 is an abundant number, since it is smaller than the sum of its proper divisors (16166817601095).

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

7648399549476 is an equidigital number, since it uses as much as digits as its factorization.

7648399549476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 526 counting only the distinct ones).

The product of its digits is 9876142080, while the sum is 81.

Multiplying 7648399549476 by its sum of digits (81), we get a square (619520363507556 = 24890166²).

7648399549476 divided by its sum of digits (81) gives a square (94424685796 = 307286²).

The spelling of 7648399549476 in words is "seven trillion, six hundred forty-eight billion, three hundred ninety-nine million, five hundred forty-nine thousand, four hundred seventy-six".