729923984979840 has 4096 divisors, whose sum is σ = 3155709984768000. Its totient is φ = 156024233164800.

The previous prime is 729923984979823. The next prime is 729923984979857. The reversal of 729923984979840 is 48979489329927.

It is a happy number.

729923984979840 is a `hidden beast` number, since 7 + 2 + 9 + 9 + 2 + 39 + 8 + 497 + 9 + 84 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (729923984979823) and next prime (729923984979857).

It is a Harshad number since it is a multiple of its sum of digits (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 2693446438905 + ... + 2693446439175.

It is an arithmetic number, because the mean of its divisors is an integer number (770437008000).

Almost surely, 2^{729923984979840} is an apocalyptic number.

729923984979840 is a gapful number since it is divisible by the number (70) 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 729923984979840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577854992384000).

729923984979840 is an abundant number, since it is smaller than the sum of its proper divisors (2425785999788160).

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

729923984979840 is a wasteful number, since it uses less digits than its factorization.

729923984979840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 35554111488, while the sum is 90.

The spelling of 729923984979840 in words is "seven hundred twenty-nine trillion, nine hundred twenty-three billion, nine hundred eighty-four million, nine hundred seventy-nine thousand, eight hundred forty".