901034576640 has 1728 divisors, whose sum is σ = 3763860452352. Its totient is φ = 196529356800.

The previous prime is 901034576627. The next prime is 901034576653. The reversal of 901034576640 is 46675430109.

901034576640 is a `hidden beast` number, since 9 + 0 + 1 + 0 + 34 + 576 + 6 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (901034576627) and next prime (901034576653).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6576894652 + ... + 6576894788.

It is an arithmetic number, because the mean of its divisors is an integer number (2178159984).

Almost surely, 2^901034576640 is an apocalyptic number.

901034576640 is a gapful number since it is divisible by the number (90) 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 901034576640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1881930226176).

901034576640 is an abundant number, since it is smaller than the sum of its proper divisors (2862825875712).

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

901034576640 is a wasteful number, since it uses less digits than its factorization.

901034576640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 901034576640 in words is "nine hundred one billion, thirty-four million, five hundred seventy-six thousand, six hundred forty".