10019264640 has 768 divisors, whose sum is σ = 41179864320. Its totient is φ = 2027520000.

The previous prime is 10019264627. The next prime is 10019264641. The reversal of 10019264640 is 4646291001.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10019264641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99200590 + ... + 99200690.

It is an arithmetic number, because the mean of its divisors is an integer number (53619615).

Almost surely, 2^10019264640 is an apocalyptic number.

10019264640 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 10019264640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20589932160).

10019264640 is an abundant number, since it is smaller than the sum of its proper divisors (31160599680).

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

10019264640 is a wasteful number, since it uses less digits than its factorization.

10019264640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 10019264640 in words is "ten billion, nineteen million, two hundred sixty-four thousand, six hundred forty".