6062138546400 has 864 divisors, whose sum is σ = 22111584768000. Its totient is φ = 1562027520000.

The previous prime is 6062138546383. The next prime is 6062138546407. The reversal of 6062138546400 is 46458312606.

6062138546400 is a `hidden beast` number, since 6 + 0 + 62 + 1 + 3 + 8 + 546 + 40 + 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 not an unprimeable number, because it can be changed into a prime (6062138546407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12655821361 + ... + 12655821839.

It is an arithmetic number, because the mean of its divisors is an integer number (25592112000).

Almost surely, 2^{6062138546400} is an apocalyptic number.

6062138546400 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 6062138546400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11055792384000).

6062138546400 is an abundant number, since it is smaller than the sum of its proper divisors (16049446221600).

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

6062138546400 is a wasteful number, since it uses less digits than its factorization.

6062138546400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 6062138546400 in words is "six trillion, sixty-two billion, one hundred thirty-eight million, five hundred forty-six thousand, four hundred".