7816491446400 has 1920 divisors, whose sum is σ = 36230878992000. Its totient is φ = 1648949944320.

The previous prime is 7816491446341. The next prime is 7816491446417. The reversal of 7816491446400 is 46441946187.

7816491446400 is a `hidden beast` number, since 7 + 8 + 164 + 9 + 14 + 464 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×7816491446400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 1155769419 + ... + 1155776181.

It is an arithmetic number, because the mean of its divisors is an integer number (18870249475).

Almost surely, 2^{7816491446400} is an apocalyptic number.

7816491446400 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 7816491446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18115439496000).

7816491446400 is an abundant number, since it is smaller than the sum of its proper divisors (28414387545600).

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

7816491446400 is a wasteful number, since it uses less digits than its factorization.

7816491446400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6833 (or 6793 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 7816491446400 in words is "seven trillion, eight hundred sixteen billion, four hundred ninety-one million, four hundred forty-six thousand, four hundred".