7974768463200 has 1296 divisors, whose sum is σ = 35858863010880. Its totient is φ = 1649071872000.

The previous prime is 7974768463133. The next prime is 7974768463219. The reversal of 7974768463200 is 23648674797.

It is a happy number.

7974768463200 is a `hidden beast` number, since 7 + 9 + 7 + 476 + 84 + 63 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 818843931 + ... + 818853669.

It is an arithmetic number, because the mean of its divisors is an integer number (27668875780).

Almost surely, 2^{7974768463200} is an apocalyptic number.

7974768463200 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 7974768463200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17929431505440).

7974768463200 is an abundant number, since it is smaller than the sum of its proper divisors (27884094547680).

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

7974768463200 is a wasteful number, since it uses less digits than its factorization.

7974768463200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10001 (or 9978 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 63.

The spelling of 7974768463200 in words is "seven trillion, nine hundred seventy-four billion, seven hundred sixty-eight million, four hundred sixty-three thousand, two hundred".