6736155509664 has 72 divisors (see below), whose sum is σ = 21892505412960. Its totient is φ = 1924615859328.

The previous prime is 6736155509663. The next prime is 6736155509683. The reversal of 6736155509664 is 4669055516376.

6736155509664 is a `hidden beast` number, since 6 + 7 + 3 + 6 + 15 + 550 + 9 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (6736155509663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1670671474 + ... + 1670675505.

It is an arithmetic number, because the mean of its divisors is an integer number (304062575180).

Almost surely, 2^{6736155509664} is an apocalyptic number.

It is an amenable number.

6736155509664 is an abundant number, since it is smaller than the sum of its proper divisors (15156349903296).

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

6736155509664 is a wasteful number, since it uses less digits than its factorization.

6736155509664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3341347002 (or 3341346991 counting only the distinct ones).

The product of its (nonzero) digits is 122472000, while the sum is 63.

It can be divided in two parts, 67361 and 55509664, that added together give a square (55577025 = 7455²).

The spelling of 6736155509664 in words is "six trillion, seven hundred thirty-six billion, one hundred fifty-five million, five hundred nine thousand, six hundred sixty-four".