7720727414400 has 5184 divisors, whose sum is σ = 39618965786400. Its totient is φ = 1467312537600.

The previous prime is 7720727414383. The next prime is 7720727414401. The reversal of 7720727414400 is 44147270277.

7720727414400 is a `hidden beast` number, since 7 + 7 + 207 + 27 + 4 + 14 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

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

It is not an unprimeable number, because it can be changed into a prime (7720727414401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 70832361546 + ... + 70832361654.

Almost surely, 2^{7720727414400} is an apocalyptic number.

7720727414400 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 7720727414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19809482893200).

7720727414400 is an abundant number, since it is smaller than the sum of its proper divisors (31898238372000).

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

7720727414400 is a wasteful number, since it uses less digits than its factorization.

7720727414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 614656, while the sum is 45.

The spelling of 7720727414400 in words is "seven trillion, seven hundred twenty billion, seven hundred twenty-seven million, four hundred fourteen thousand, four hundred".