6136687962240 has 384 divisors, whose sum is σ = 22632222916800. Its totient is φ = 1409381867520.

The previous prime is 6136687962227. The next prime is 6136687962299. The reversal of 6136687962240 is 422697866316.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3718954 + ... + 5109206.

Almost surely, 2^{6136687962240} is an apocalyptic number.

6136687962240 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 6136687962240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11316111458400).

6136687962240 is an abundant number, since it is smaller than the sum of its proper divisors (16495534954560).

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

6136687962240 is a wasteful number, since it uses less digits than its factorization.

6136687962240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390316 (or 1390293 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 60.

The spelling of 6136687962240 in words is "six trillion, one hundred thirty-six billion, six hundred eighty-seven million, nine hundred sixty-two thousand, two hundred forty".