10373935904640 has 2048 divisors, whose sum is σ = 48485910528000. Its totient is φ = 2030827438080.

The previous prime is 10373935904623. The next prime is 10373935904653. The reversal of 10373935904640 is 4640953937301.

10373935904640 is a `hidden beast` number, since 1 + 0 + 3 + 7 + 3 + 9 + 3 + 590 + 4 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4980285039 + ... + 4980287121.

It is an arithmetic number, because the mean of its divisors is an integer number (23674761000).

Almost surely, 2^{10373935904640} is an apocalyptic number.

10373935904640 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 10373935904640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24242955264000).

10373935904640 is an abundant number, since it is smaller than the sum of its proper divisors (38111974623360).

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

10373935904640 is a wasteful number, since it uses less digits than its factorization.

10373935904640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2345 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 10373935904640 in words is "ten trillion, three hundred seventy-three billion, nine hundred thirty-five million, nine hundred four thousand, six hundred forty".