742599940642560 has 10368 divisors, whose sum is σ = 3898634316595200. Its totient is φ = 132645053399040.

The previous prime is 742599940642421. The next prime is 742599940642577. The reversal of 742599940642560 is 65246049995247.

742599940642560 is a `hidden beast` number, since 7 + 4 + 2 + 59 + 9 + 9 + 4 + 0 + 6 + 4 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (10368).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 3271365377167 + ... + 3271365377393.

It is an arithmetic number, because the mean of its divisors is an integer number (376025686400).

Almost surely, 2^{742599940642560} is an apocalyptic number.

742599940642560 is a gapful number since it is divisible by the number (70) 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 742599940642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1949317158297600).

742599940642560 is an abundant number, since it is smaller than the sum of its proper divisors (3156034375952640).

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

742599940642560 is a wasteful number, since it uses less digits than its factorization.

742599940642560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 1175731200, while the sum is 72.

The spelling of 742599940642560 in words is "seven hundred forty-two trillion, five hundred ninety-nine billion, nine hundred forty million, six hundred forty-two thousand, five hundred sixty".