6437151264240 has 960 divisors, whose sum is σ = 24350487183360. Its totient is φ = 1514411458560.

The previous prime is 6437151264191. The next prime is 6437151264263. The reversal of 6437151264240 is 424621517346.

6437151264240 is a `hidden beast` number, since 6 + 4 + 3 + 71 + 512 + 64 + 2 + 4 + 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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13903134249 + ... + 13903134711.

It is an arithmetic number, because the mean of its divisors is an integer number (25365090816).

Almost surely, 2^{6437151264240} is an apocalyptic number.

6437151264240 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 6437151264240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12175243591680).

6437151264240 is an abundant number, since it is smaller than the sum of its proper divisors (17913335919120).

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

6437151264240 is a wasteful number, since it uses less digits than its factorization.

6437151264240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 6437151264240 in words is "six trillion, four hundred thirty-seven billion, one hundred fifty-one million, two hundred sixty-four thousand, two hundred forty".