7628913201600 has 420 divisors, whose sum is σ = 28106052449200. Its totient is φ = 2029727600640.

The previous prime is 7628913201599. The next prime is 7628913201643. The reversal of 7628913201600 is 61023198267.

7628913201600 is a `hidden beast` number, since 7 + 6 + 2 + 8 + 9 + 1 + 32 + 0 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 56827356 + ... + 56961444.

Almost surely, 2^{7628913201600} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7628913201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14053026224600).

7628913201600 is an abundant number, since it is smaller than the sum of its proper divisors (20477139247600).

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

7628913201600 is a wasteful number, since it uses less digits than its factorization.

7628913201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134562 (or 134538 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

Adding to 7628913201600 its reverse (61023198267), we get a palindrome (7689936399867).

The spelling of 7628913201600 in words is "seven trillion, six hundred twenty-eight billion, nine hundred thirteen million, two hundred one thousand, six hundred".