6247640678400 has 3600 divisors, whose sum is σ = 28672215485760. Its totient is φ = 1324980633600.

The previous prime is 6247640678327. The next prime is 6247640678423. The reversal of 6247640678400 is 48760467426.

6247640678400 is a `hidden beast` number, since 62 + 4 + 76 + 40 + 6 + 78 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 117880012774 + ... + 117880012826.

Almost surely, 2^{6247640678400} is an apocalyptic number.

6247640678400 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 6247640678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14336107742880).

6247640678400 is an abundant number, since it is smaller than the sum of its proper divisors (22424574807360).

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

6247640678400 is a wasteful number, since it uses less digits than its factorization.

6247640678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 6247640678400 in words is "six trillion, two hundred forty-seven billion, six hundred forty million, six hundred seventy-eight thousand, four hundred".