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640135457280 = 2934511231823
BaseRepresentation
bin10010101000010110000…
…10111110101000000000
32021012022010210112110000
421110023002332220000
540441444134113110
61210024004240000
764151103416004
oct11241302765000
92235263715400
10640135457280
11227530860700
12a40900a0000
1348497ab94b7
1422da8832704
15119b86b01c0
hex950b0bea00

640135457280 has 1200 divisors, whose sum is σ = 2604600294912. Its totient is φ = 149995929600.

The previous prime is 640135457279. The next prime is 640135457323. The reversal of 640135457280 is 82754531046.

640135457280 is a `hidden beast` number, since 6 + 40 + 1 + 35 + 4 + 572 + 8 + 0 = 666.

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 119 ways as a sum of consecutive naturals, for example, 777806949 + ... + 777807771.

Almost surely, 2640135457280 is an apocalyptic number.

640135457280 is a gapful number since it is divisible by the number (60) 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 640135457280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302300147456).

640135457280 is an abundant number, since it is smaller than the sum of its proper divisors (1964464837632).

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

640135457280 is a wasteful number, since it uses less digits than its factorization.

640135457280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 640135457280 in words is "six hundred forty billion, one hundred thirty-five million, four hundred fifty-seven thousand, two hundred eighty".