196377502464 has 1728 divisors, whose sum is σ = 775634227200. Its totient is φ = 48306585600.

The previous prime is 196377502457. The next prime is 196377502487. The reversal of 196377502464 is 464205773691.

196377502464 is a `hidden beast` number, since 1 + 9 + 6 + 3 + 77 + 502 + 4 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a self number, because there is not a number n which added to its sum of digits gives 196377502464.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6334758129 + ... + 6334758159.

It is an arithmetic number, because the mean of its divisors is an integer number (448862400).

Almost surely, 2^196377502464 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 196377502464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387817113600).

196377502464 is an abundant number, since it is smaller than the sum of its proper divisors (579256724736).

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

196377502464 is a wasteful number, since it uses less digits than its factorization.

196377502464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 196377502464 in words is "one hundred ninety-six billion, three hundred seventy-seven million, five hundred two thousand, four hundred sixty-four".