6150006374400 has 1296 divisors, whose sum is σ = 26017067801088. Its totient is φ = 1360370073600.

The previous prime is 6150006374333. The next prime is 6150006374453. The reversal of 6150006374400 is 44736000516.

It is a happy number.

6150006374400 is a `hidden beast` number, since 6 + 15 + 0 + 0 + 0 + 637 + 4 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 198387302385 + ... + 198387302415.

Almost surely, 2^{6150006374400} is an apocalyptic number.

6150006374400 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 6150006374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13008533900544).

6150006374400 is an abundant number, since it is smaller than the sum of its proper divisors (19867061426688).

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

6150006374400 is an frugal number, since it uses more digits than its factorization.

6150006374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 6150006374400 in words is "six trillion, one hundred fifty billion, six million, three hundred seventy-four thousand, four hundred".