10277984640 has 512 divisors, whose sum is σ = 43006464000. Its totient is φ = 2022727680.

The previous prime is 10277984623. The next prime is 10277984663. The reversal of 10277984640 is 4648977201.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10277984640.

It is a congruent number.

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, 2807131 + ... + 2810789.

It is an arithmetic number, because the mean of its divisors is an integer number (83997000).

Almost surely, 2^10277984640 is an apocalyptic number.

10277984640 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 10277984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21503232000).

10277984640 is an abundant number, since it is smaller than the sum of its proper divisors (32728479360).

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

10277984640 is a wasteful number, since it uses less digits than its factorization.

10277984640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3718 (or 3706 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 10277984640 in words is "ten billion, two hundred seventy-seven million, nine hundred eighty-four thousand, six hundred forty".