190257398640 has 320 divisors, whose sum is σ = 679505080320. Its totient is φ = 48878484480.

The previous prime is 190257398629. The next prime is 190257398677. The reversal of 190257398640 is 46893752091.

190257398640 is a `hidden beast` number, since 1 + 9 + 0 + 2 + 573 + 9 + 8 + 64 + 0 = 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 63 ways as a sum of consecutive naturals, for example, 15193662 + ... + 15206178.

It is an arithmetic number, because the mean of its divisors is an integer number (2123453376).

It is a 1-persistent number, because it is pandigital, but 2⋅190257398640 = 380514797280 is not.

Almost surely, 2^190257398640 is an apocalyptic number.

190257398640 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 190257398640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339752540160).

190257398640 is an abundant number, since it is smaller than the sum of its proper divisors (489247681680).

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

190257398640 is a wasteful number, since it uses less digits than its factorization.

190257398640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12797 (or 12785 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 190257398640 in words is "one hundred ninety billion, two hundred fifty-seven million, three hundred ninety-eight thousand, six hundred forty".