20074698378240 has 704 divisors, whose sum is σ = 72896928168960. Its totient is φ = 4670453186560.

The previous prime is 20074698378221. The next prime is 20074698378331. The reversal of 20074698378240 is 4287389647002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×20074698378240² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 818261014 + ... + 818285546.

Almost surely, 2^{20074698378240} is an apocalyptic number.

20074698378240 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 20074698378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36448464084480).

20074698378240 is an abundant number, since it is smaller than the sum of its proper divisors (52822229790720).

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

20074698378240 is a wasteful number, since it uses less digits than its factorization.

20074698378240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24768 (or 24750 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 60.

The spelling of 20074698378240 in words is "twenty trillion, seventy-four billion, six hundred ninety-eight million, three hundred seventy-eight thousand, two hundred forty".