7919849336400 has 480 divisors, whose sum is σ = 30078946352000. Its totient is φ = 1973392035840.

The previous prime is 7919849336393. The next prime is 7919849336411. The reversal of 7919849336400 is 46339489197.

7919849336400 is a `hidden beast` number, since 7 + 9 + 198 + 4 + 9 + 3 + 36 + 400 = 666.

It is a super-2 number, since 2×7919849336400² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14715246 + ... + 15243954.

Almost surely, 2^{7919849336400} 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 7919849336400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15039473176000).

7919849336400 is an abundant number, since it is smaller than the sum of its proper divisors (22159097015600).

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

7919849336400 is a wasteful number, since it uses less digits than its factorization.

7919849336400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528828 (or 528811 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 7919849336400 in words is "seven trillion, nine hundred nineteen billion, eight hundred forty-nine million, three hundred thirty-six thousand, four hundred".