726195345408 has 384 divisors, whose sum is σ = 2354758660800. Its totient is φ = 219768422400.

The previous prime is 726195345401. The next prime is 726195345419. The reversal of 726195345408 is 804543591627.

It is a happy number.

726195345408 is a `hidden beast` number, since 7 + 2 + 6 + 1 + 95 + 3 + 4 + 540 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (726195345401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43841448 + ... + 43858008.

It is a 1-persistent number, because it is pandigital, but 2⋅726195345408 = 1452390690816 is not.

Almost surely, 2^726195345408 is an apocalyptic number.

726195345408 is a gapful number since it is divisible by the number (78) 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 726195345408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177379330400).

726195345408 is an abundant number, since it is smaller than the sum of its proper divisors (1628563315392).

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

726195345408 is a wasteful number, since it uses less digits than its factorization.

726195345408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16666 (or 16640 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 726195345408 in words is "seven hundred twenty-six billion, one hundred ninety-five million, three hundred forty-five thousand, four hundred eight".