6240156378300 has 288 divisors, whose sum is σ = 21683849922560. Its totient is φ = 1530368121600.

The previous prime is 6240156378259. The next prime is 6240156378331. The reversal of 6240156378300 is 38736510426.

6240156378300 is a `hidden beast` number, since 6 + 2 + 4 + 0 + 1 + 5 + 637 + 8 + 3 + 0 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 9184089 + ... + 9840111.

Almost surely, 2^{6240156378300} is an apocalyptic number.

6240156378300 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 6240156378300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10841924961280).

6240156378300 is an abundant number, since it is smaller than the sum of its proper divisors (15443693544260).

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

6240156378300 is a wasteful number, since it uses less digits than its factorization.

6240156378300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656330 (or 656317 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 6240156378300 in words is "six trillion, two hundred forty billion, one hundred fifty-six million, three hundred seventy-eight thousand, three hundred".