6761462400 has 576 divisors, whose sum is σ = 30089592000. Its totient is φ = 1404518400.

The previous prime is 6761462387. The next prime is 6761462419. The reversal of 6761462400 is 42641676.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×6761462400² = 91434747573227520000, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2216076 + ... + 2219124.

It is an arithmetic number, because the mean of its divisors is an integer number (52238875).

Almost surely, 2^6761462400 is an apocalyptic number.

6761462400 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 6761462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15044796000).

6761462400 is an abundant number, since it is smaller than the sum of its proper divisors (23328129600).

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

6761462400 is a wasteful number, since it uses less digits than its factorization.

6761462400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3097 (or 3077 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 6761462400 is about 82228.1119812440. Note that the first 3 decimals coincide. The cubic root of 6761462400 is about 1890.9507268490.

The spelling of 6761462400 in words is "six billion, seven hundred sixty-one million, four hundred sixty-two thousand, four hundred".