10297674240 has 640 divisors, whose sum is σ = 40125431808. Its totient is φ = 2202992640.

The previous prime is 10297674239. The next prime is 10297674281. The reversal of 10297674240 is 4247679201.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 10297674192 and 10297674201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61662637 + ... + 61662803.

Almost surely, 2^10297674240 is an apocalyptic number.

10297674240 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 10297674240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20062715904).

10297674240 is an abundant number, since it is smaller than the sum of its proper divisors (29827757568).

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

10297674240 is a wasteful number, since it uses less digits than its factorization.

10297674240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 10297674240 in words is "ten billion, two hundred ninety-seven million, six hundred seventy-four thousand, two hundred forty".