7720491038400 has 1512 divisors, whose sum is σ = 34077996725760. Its totient is φ = 1648055808000.

The previous prime is 7720491038389. The next prime is 7720491038423. The reversal of 7720491038400 is 48301940277.

7720491038400 is a `hidden beast` number, since 7 + 7 + 204 + 9 + 1 + 0 + 38 + 400 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 951850345 + ... + 951858455.

Almost surely, 2^{7720491038400} is an apocalyptic number.

7720491038400 is a gapful number since it is divisible by the number (70) 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 7720491038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17038998362880).

7720491038400 is an abundant number, since it is smaller than the sum of its proper divisors (26357505687360).

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

7720491038400 is a wasteful number, since it uses less digits than its factorization.

7720491038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8243 (or 8218 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

Adding to 7720491038400 its reverse (48301940277), we get a palindrome (7768792978677).

The spelling of 7720491038400 in words is "seven trillion, seven hundred twenty billion, four hundred ninety-one million, thirty-eight thousand, four hundred".