6370242278400 has 5544 divisors, whose sum is σ = 33061255388672. Its totient is φ = 1182449664000.

The previous prime is 6370242278383. The next prime is 6370242278417. The reversal of 6370242278400 is 48722420736.

6370242278400 is a `hidden beast` number, since 6 + 370 + 2 + 4 + 2 + 278 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6370242278383) and next prime (6370242278417).

It is a tau number, because it is divible by the number of its divisors (5544).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 205491686385 + ... + 205491686415.

Almost surely, 2^{6370242278400} is an apocalyptic number.

6370242278400 is a gapful number since it is divisible by the number (60) 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 6370242278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16530627694336).

6370242278400 is an abundant number, since it is smaller than the sum of its proper divisors (26691013110272).

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

6370242278400 is a wasteful number, since it uses less digits than its factorization.

6370242278400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 6370242278400 in words is "six trillion, three hundred seventy billion, two hundred forty-two million, two hundred seventy-eight thousand, four hundred".