1640957472000 has 2916 divisors, whose sum is σ = 7801257191364. Its totient is φ = 329978880000.

The previous prime is 1640957471987. The next prime is 1640957472059. The reversal of 1640957472000 is 2747590461.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1640957472000 is a `hidden beast` number, since 1 + 6 + 4 + 0 + 9 + 574 + 72 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 52510639104 + 1588446832896 = 229152^2 + 1260336^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 52934111985 + ... + 52934112015.

Almost surely, 2^{1640957472000} is an apocalyptic number.

1640957472000 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 1640957472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3900628595682).

1640957472000 is an abundant number, since it is smaller than the sum of its proper divisors (6160299719364).

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

1640957472000 is a wasteful number, since it uses less digits than its factorization.

1640957472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

Multiplying 1640957472000 by its sum of digits (45), we get a square (73843086240000 = 8593200²).

1640957472000 divided by its sum of digits (45) gives a square (36465721600 = 190960²).

The spelling of 1640957472000 in words is "one trillion, six hundred forty billion, nine hundred fifty-seven million, four hundred seventy-two thousand".