736473436743672 has 24 divisors (see below), whose sum is σ = 1994615557847640. Its totient is φ = 245491145581200.

The previous prime is 736473436743643. The next prime is 736473436743673. The reversal of 736473436743672 is 276347634374637.

It is a happy number.

736473436743672 is a `hidden beast` number, since 7 + 3 + 6 + 473 + 43 + 6 + 7 + 43 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (72), and also a Moran number because the ratio is a prime number: 10228797732551 = 736473436743672 / (7 + 3 + 6 + 4 + 7 + 3 + 4 + 3 + 6 + 7 + 4 + 3 + 6 + 7 + 2).

It is a self number, because there is not a number n which added to its sum of digits gives 736473436743672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (736473436743673) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5114398866204 + ... + 5114398866347.

It is an arithmetic number, because the mean of its divisors is an integer number (83108981576985).

Almost surely, 2^{736473436743672} is an apocalyptic number.

736473436743672 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

736473436743672 is an abundant number, since it is smaller than the sum of its proper divisors (1258142121103968).

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

736473436743672 is a wasteful number, since it uses less digits than its factorization.

736473436743672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10228797732563 (or 10228797732556 counting only the distinct ones).

The product of its digits is 5377010688, while the sum is 72.

The spelling of 736473436743672 in words is "seven hundred thirty-six trillion, four hundred seventy-three billion, four hundred thirty-six million, seven hundred forty-three thousand, six hundred seventy-two".