71604464400 has 720 divisors, whose sum is σ = 298162166400. Its totient is φ = 16273474560.

The previous prime is 71604464359. The next prime is 71604464507. The reversal of 71604464400 is 446440617.

71604464400 is a `hidden beast` number, since 7 + 1 + 6 + 0 + 4 + 4 + 644 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 142354549 + ... + 142355051.

It is an arithmetic number, because the mean of its divisors is an integer number (414114120).

Almost surely, 2^71604464400 is an apocalyptic number.

71604464400 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 71604464400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149081083200).

71604464400 is an abundant number, since it is smaller than the sum of its proper divisors (226557702000).

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

71604464400 is a wasteful number, since it uses less digits than its factorization.

71604464400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 71604464400 in words is "seventy-one billion, six hundred four million, four hundred sixty-four thousand, four hundred".