1655640000 has 700 divisors, whose sum is σ = 7104963184. Its totient is φ = 373248000.

The previous prime is 1655639987. The next prime is 1655640037. The reversal of 1655640000 is 465561.

It is a happy number.

1655640000 is a `hidden beast` number, since 1 + 655 + 6 + 4 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (700).

It is a super-2 number, since 2×1655640000² = 5482287619200000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 22679964 + ... + 22680036.

Almost surely, 2^1655640000 is an apocalyptic number.

1655640000 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 1655640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3552481592).

1655640000 is an abundant number, since it is smaller than the sum of its proper divisors (5449323184).

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

1655640000 is an frugal number, since it uses more digits than its factorization.

1655640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1655640000 is about 40689.5563996463. The cubic root of 1655640000 is about 1183.0106021081.

The spelling of 1655640000 in words is "one billion, six hundred fifty-five million, six hundred forty thousand".