190620080640 has 960 divisors, whose sum is σ = 770220202752. Its totient is φ = 43057152000.

The previous prime is 190620080549. The next prime is 190620080681. The reversal of 190620080640 is 46080026091.

190620080640 is a `hidden beast` number, since 1 + 9 + 0 + 6 + 2 + 0 + 0 + 8 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 190620080595 and 190620080604.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 650580334 + ... + 650580626.

Almost surely, 2^190620080640 is an apocalyptic number.

190620080640 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 190620080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385110101376).

190620080640 is an abundant number, since it is smaller than the sum of its proper divisors (579600122112).

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

190620080640 is a wasteful number, since it uses less digits than its factorization.

190620080640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 190620080640 in words is "one hundred ninety billion, six hundred twenty million, eighty thousand, six hundred forty".