736980596352 has 1536 divisors, whose sum is σ = 3055592816640. Its totient is φ = 164229120000.

The previous prime is 736980596323. The next prime is 736980596353. The reversal of 736980596352 is 253695089637.

736980596352 is a `hidden beast` number, since 7 + 3 + 6 + 9 + 8 + 0 + 596 + 35 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 736980596352.

It is not an unprimeable number, because it can be changed into a prime (736980596353) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 981331977 + ... + 981332727.

It is an arithmetic number, because the mean of its divisors is an integer number (1989318240).

Almost surely, 2^736980596352 is an apocalyptic number.

736980596352 is a gapful number since it is divisible by the number (72) 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 736980596352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527796408320).

736980596352 is an abundant number, since it is smaller than the sum of its proper divisors (2318612220288).

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

736980596352 is a wasteful number, since it uses less digits than its factorization.

736980596352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 63.

The spelling of 736980596352 in words is "seven hundred thirty-six billion, nine hundred eighty million, five hundred ninety-six thousand, three hundred fifty-two".