6461512434000 has 480 divisors, whose sum is σ = 24345004320000. Its totient is φ = 1587836390400.

The previous prime is 6461512433939. The next prime is 6461512434017. The reversal of 6461512434000 is 4342151646.

6461512434000 is a `hidden beast` number, since 6 + 4 + 6 + 1 + 5 + 1 + 243 + 400 + 0 = 666.

It is a super-2 number, since 2×6461512434000² (a number of 26 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 140142951 + ... + 140189049.

It is an arithmetic number, because the mean of its divisors is an integer number (50718759000).

Almost surely, 2^{6461512434000} is an apocalyptic number.

6461512434000 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 6461512434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12172502160000).

6461512434000 is an abundant number, since it is smaller than the sum of its proper divisors (17883491886000).

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

6461512434000 is a wasteful number, since it uses less digits than its factorization.

6461512434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46740 (or 46721 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 6461512434000 its reverse (4342151646), we get a palindrome (6465854585646).

The spelling of 6461512434000 in words is "six trillion, four hundred sixty-one billion, five hundred twelve million, four hundred thirty-four thousand".