2964785725440 has 1600 divisors, whose sum is σ = 13915693624320. Its totient is φ = 579820584960.

The previous prime is 2964785725427. The next prime is 2964785725477. The reversal of 2964785725440 is 445275874692.

2964785725440 is a `hidden beast` number, since 2 + 9 + 6 + 4 + 7 + 8 + 572 + 54 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 174399160312 + ... + 174399160328.

Almost surely, 2^{2964785725440} is an apocalyptic number.

2964785725440 is a gapful number since it is divisible by the number (20) 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 2964785725440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6957846812160).

2964785725440 is an abundant number, since it is smaller than the sum of its proper divisors (10950907898880).

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

2964785725440 is an frugal number, since it uses more digits than its factorization.

2964785725440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 63.

The spelling of 2964785725440 in words is "two trillion, nine hundred sixty-four billion, seven hundred eighty-five million, seven hundred twenty-five thousand, four hundred forty".