29642714640 has 1680 divisors, whose sum is σ = 140168278656. Its totient is φ = 5748019200.

The previous prime is 29642714627. The next prime is 29642714713. The reversal of 29642714640 is 4641724692.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 722993020 + ... + 722993060.

Almost surely, 2^29642714640 is an apocalyptic number.

29642714640 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 29642714640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70084139328).

29642714640 is an abundant number, since it is smaller than the sum of its proper divisors (110525564016).

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

29642714640 is a wasteful number, since it uses less digits than its factorization.

29642714640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 29642714640 in words is "twenty-nine billion, six hundred forty-two million, seven hundred fourteen thousand, six hundred forty".