155667536640 has 2880 divisors, whose sum is σ = 779533590528. Its totient is φ = 28665446400.

The previous prime is 155667536611. The next prime is 155667536699. The reversal of 155667536640 is 46635766551.

155667536640 is a `hidden beast` number, since 1 + 5 + 5 + 6 + 67 + 536 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 (13) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4207230702 + ... + 4207230738.

Almost surely, 2^155667536640 is an apocalyptic number.

155667536640 is a gapful number since it is divisible by the number (10) 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 155667536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389766795264).

155667536640 is an abundant number, since it is smaller than the sum of its proper divisors (623866053888).

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

155667536640 is a wasteful number, since it uses less digits than its factorization.

155667536640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

The spelling of 155667536640 in words is "one hundred fifty-five billion, six hundred sixty-seven million, five hundred thirty-six thousand, six hundred forty".