7936408166400 has 2016 divisors, whose sum is σ = 35933518054080. Its totient is φ = 1706337239040.

The previous prime is 7936408166371. The next prime is 7936408166437. The reversal of 7936408166400 is 46618046397.

7936408166400 is a `hidden beast` number, since 7 + 9 + 36 + 40 + 8 + 166 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×7936408166400² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4606155939 + ... + 4606157661.

Almost surely, 2^{7936408166400} is an apocalyptic number.

7936408166400 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 7936408166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17966759027040).

7936408166400 is an abundant number, since it is smaller than the sum of its proper divisors (27997109887680).

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

7936408166400 is a wasteful number, since it uses less digits than its factorization.

7936408166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 7936408166400 in words is "seven trillion, nine hundred thirty-six billion, four hundred eight million, one hundred sixty-six thousand, four hundred".