7920167578400 has 432 divisors, whose sum is σ = 24945263275968. Its totient is φ = 2401896499200.

The previous prime is 7920167578397. The next prime is 7920167578417. The reversal of 7920167578400 is 48757610297.

It is a Harshad number since it is a multiple of its sum of digits (56).

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 71 ways as a sum of consecutive naturals, for example, 24913247 + ... + 25229153.

Almost surely, 2^{7920167578400} is an apocalyptic number.

7920167578400 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 7920167578400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12472631637984).

7920167578400 is an abundant number, since it is smaller than the sum of its proper divisors (17025095697568).

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

7920167578400 is a wasteful number, since it uses less digits than its factorization.

7920167578400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315993 (or 315969 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 56.

The spelling of 7920167578400 in words is "seven trillion, nine hundred twenty billion, one hundred sixty-seven million, five hundred seventy-eight thousand, four hundred".