6430078755540 has 1920 divisors, whose sum is σ = 24798572789760. Its totient is φ = 1388762496000.

The previous prime is 6430078755523. The next prime is 6430078755577. The reversal of 6430078755540 is 455578700346.

6430078755540 is a `hidden beast` number, since 6 + 4 + 3 + 0 + 0 + 7 + 87 + 5 + 554 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 77470828339 + ... + 77470828421.

It is an arithmetic number, because the mean of its divisors is an integer number (12915923328).

Almost surely, 2^{6430078755540} is an apocalyptic number.

6430078755540 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 6430078755540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12399286394880).

6430078755540 is an abundant number, since it is smaller than the sum of its proper divisors (18368494034220).

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

6430078755540 is a wasteful number, since it uses less digits than its factorization.

6430078755540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 14112000, while the sum is 54.

The spelling of 6430078755540 in words is "six trillion, four hundred thirty billion, seventy-eight million, seven hundred fifty-five thousand, five hundred forty".