1609760678400 has 720 divisors, whose sum is σ = 6724113986304. Its totient is φ = 360108195840.

The previous prime is 1609760678371. The next prime is 1609760678401. The reversal of 1609760678400 is 48760679061.

It is a happy number.

1609760678400 is a `hidden beast` number, since 160 + 9 + 7 + 6 + 0 + 6 + 78 + 400 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1609760678401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37879564 + ... + 37922036.

Almost surely, 2^{1609760678400} is an apocalyptic number.

1609760678400 is a gapful number since it is divisible by the number (10) 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 1609760678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3362056993152).

1609760678400 is an abundant number, since it is smaller than the sum of its proper divisors (5114353307904).

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

1609760678400 is a wasteful number, since it uses less digits than its factorization.

1609760678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42561 (or 42537 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 1609760678400 in words is "one trillion, six hundred nine billion, seven hundred sixty million, six hundred seventy-eight thousand, four hundred".