721978583040 has 1152 divisors, whose sum is σ = 3050084419200. Its totient is φ = 161482014720.

The previous prime is 721978583033. The next prime is 721978583047. The reversal of 721978583040 is 40385879127.

It is a happy number.

721978583040 is a `hidden beast` number, since 7 + 2 + 19 + 7 + 8 + 583 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (721978583033) and next prime (721978583047).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (721978583047) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 355828746 + ... + 355830774.

It is an arithmetic number, because the mean of its divisors is an integer number (2647642725).

Almost surely, 2^721978583040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 721978583040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525042209600).

721978583040 is an abundant number, since it is smaller than the sum of its proper divisors (2328105836160).

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

721978583040 is a wasteful number, since it uses less digits than its factorization.

721978583040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2095 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 721978583040 in words is "seven hundred twenty-one billion, nine hundred seventy-eight million, five hundred eighty-three thousand, forty".